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Finding the Fourth Proportional to 429,733.88, 644,200.15 and 145,225.47

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Solution

The fourth proportional to 429,733.88, 644,200.15 and 145,225.47 is: 217,702.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,733.88 : 644,200.15 = 145,225.47 : x
  2. Step 2: Convert to fraction form
    429,733.88/644,200.15 = 145,225.47/x
  3. Step 3: Cross multiply
    429,733.88x = 644,200.15 × 145,225.47
  4. Step 4: Simplify right side
    429,733.88x = 93,554,269,194.76
  5. Step 5: Solve for x
    x = 93,554,269,194.76/429,733.88
  6. Step 6: Final answer
    x = 217,702.80

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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.