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Finding the Fourth Proportional to 687,478.55, 948,706.12 and 381,537.16

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Solution

The fourth proportional to 687,478.55, 948,706.12 and 381,537.16 is: 526,513.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,478.55 : 948,706.12 = 381,537.16 : x
  2. Step 2: Convert to fraction form
    687,478.55/948,706.12 = 381,537.16/x
  3. Step 3: Cross multiply
    687,478.55x = 948,706.12 × 381,537.16
  4. Step 4: Simplify right side
    687,478.55x = 361,966,635,373.81
  5. Step 5: Solve for x
    x = 361,966,635,373.81/687,478.55
  6. Step 6: Final answer
    x = 526,513.36

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Double scale
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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.