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Finding the Fourth Proportional to 402,317.20, 603,864.60 and 202,862.80

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Solution

The fourth proportional to 402,317.20, 603,864.60 and 202,862.80 is: 304,490.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,317.20 : 603,864.60 = 202,862.80 : x
  2. Step 2: Convert to fraction form
    402,317.20/603,864.60 = 202,862.80/x
  3. Step 3: Cross multiply
    402,317.20x = 603,864.60 × 202,862.80
  4. Step 4: Simplify right side
    402,317.20x = 122,501,663,576.88
  5. Step 5: Solve for x
    x = 122,501,663,576.88/402,317.20
  6. Step 6: Final answer
    x = 304,490.25

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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.