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Finding the Fourth Proportional to 703,114.68, 970,290.54 and 380,816.76

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Solution

The fourth proportional to 703,114.68, 970,290.54 and 380,816.76 is: 525,522.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,114.68 : 970,290.54 = 380,816.76 : x
  2. Step 2: Convert to fraction form
    703,114.68/970,290.54 = 380,816.76/x
  3. Step 3: Cross multiply
    703,114.68x = 970,290.54 × 380,816.76
  4. Step 4: Simplify right side
    703,114.68x = 369,502,899,701.45
  5. Step 5: Solve for x
    x = 369,502,899,701.45/703,114.68
  6. Step 6: Final answer
    x = 525,522.95

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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.