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Finding the Fourth Proportional to 702,387.62, 969,294.89 and 380,097.71

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Solution

The fourth proportional to 702,387.62, 969,294.89 and 380,097.71 is: 524,534.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,387.62 : 969,294.89 = 380,097.71 : x
  2. Step 2: Convert to fraction form
    702,387.62/969,294.89 = 380,097.71/x
  3. Step 3: Cross multiply
    702,387.62x = 969,294.89 × 380,097.71
  4. Step 4: Simplify right side
    702,387.62x = 368,426,768,003.70
  5. Step 5: Solve for x
    x = 368,426,768,003.70/702,387.62
  6. Step 6: Final answer
    x = 524,534.83

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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.