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Finding the Fourth Proportional to 702,412.80, 969,332.13 and 380,122.86

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Solution

The fourth proportional to 702,412.80, 969,332.13 and 380,122.86 is: 524,570.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,412.80 : 969,332.13 = 380,122.86 : x
  2. Step 2: Convert to fraction form
    702,412.80/969,332.13 = 380,122.86/x
  3. Step 3: Cross multiply
    702,412.80x = 969,332.13 × 380,122.86
  4. Step 4: Simplify right side
    702,412.80x = 368,465,301,545.49
  5. Step 5: Solve for x
    x = 368,465,301,545.49/702,412.80
  6. Step 6: Final answer
    x = 524,570.88

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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.