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Finding the Fourth Proportional to 429,502.20, 644,253.30 and 405,007.80

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Solution

The fourth proportional to 429,502.20, 644,253.30 and 405,007.80 is: 607,511.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,502.20 : 644,253.30 = 405,007.80 : x
  2. Step 2: Convert to fraction form
    429,502.20/644,253.30 = 405,007.80/x
  3. Step 3: Cross multiply
    429,502.20x = 644,253.30 × 405,007.80
  4. Step 4: Simplify right side
    429,502.20x = 260,927,611,675.74
  5. Step 5: Solve for x
    x = 260,927,611,675.74/429,502.20
  6. Step 6: Final answer
    x = 607,511.70

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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.