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Finding the Fourth Proportional to 643,139.20, 963,758.40 and 466,019.20

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Solution

The fourth proportional to 643,139.20, 963,758.40 and 466,019.20 is: 698,340.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,139.20 : 963,758.40 = 466,019.20 : x
  2. Step 2: Convert to fraction form
    643,139.20/963,758.40 = 466,019.20/x
  3. Step 3: Cross multiply
    643,139.20x = 963,758.40 × 466,019.20
  4. Step 4: Simplify right side
    643,139.20x = 449,129,918,561.28
  5. Step 5: Solve for x
    x = 449,129,918,561.28/643,139.20
  6. Step 6: Final answer
    x = 698,340.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.