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Finding the Fourth Proportional to 402,557.80, 604,000.72 and 202,935.72

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Solution

The fourth proportional to 402,557.80, 604,000.72 and 202,935.72 is: 304,486.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,557.80 : 604,000.72 = 202,935.72 : x
  2. Step 2: Convert to fraction form
    402,557.80/604,000.72 = 202,935.72/x
  3. Step 3: Cross multiply
    402,557.80x = 604,000.72 × 202,935.72
  4. Step 4: Simplify right side
    402,557.80x = 122,573,320,993.72
  5. Step 5: Solve for x
    x = 122,573,320,993.72/402,557.80
  6. Step 6: Final answer
    x = 304,486.27

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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.