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Finding the Fourth Proportional to 402,437.20, 603,655.80 and 202,680.40

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Solution

The fourth proportional to 402,437.20, 603,655.80 and 202,680.40 is: 304,020.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,437.20 : 603,655.80 = 202,680.40 : x
  2. Step 2: Convert to fraction form
    402,437.20/603,655.80 = 202,680.40/x
  3. Step 3: Cross multiply
    402,437.20x = 603,655.80 × 202,680.40
  4. Step 4: Simplify right side
    402,437.20x = 122,349,199,006.32
  5. Step 5: Solve for x
    x = 122,349,199,006.32/402,437.20
  6. Step 6: Final answer
    x = 304,020.60

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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.