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Finding the Fourth Proportional to 402,027.40, 554,805.74 and 220,737.74

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Solution

The fourth proportional to 402,027.40, 554,805.74 and 220,737.74 is: 304,622.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,027.40 : 554,805.74 = 220,737.74 : x
  2. Step 2: Convert to fraction form
    402,027.40/554,805.74 = 220,737.74/x
  3. Step 3: Cross multiply
    402,027.40x = 554,805.74 × 220,737.74
  4. Step 4: Simplify right side
    402,027.40x = 122,466,565,656.85
  5. Step 5: Solve for x
    x = 122,466,565,656.85/402,027.40
  6. Step 6: Final answer
    x = 304,622.44

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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.