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Finding the Fourth Proportional to 687,046.70, 948,130.13 and 381,143.14

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Solution

The fourth proportional to 687,046.70, 948,130.13 and 381,143.14 is: 525,980.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,046.70 : 948,130.13 = 381,143.14 : x
  2. Step 2: Convert to fraction form
    687,046.70/948,130.13 = 381,143.14/x
  3. Step 3: Cross multiply
    687,046.70x = 948,130.13 × 381,143.14
  4. Step 4: Simplify right side
    687,046.70x = 361,373,294,876.81
  5. Step 5: Solve for x
    x = 361,373,294,876.81/687,046.70
  6. Step 6: Final answer
    x = 525,980.69

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.