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Finding the Fourth Proportional to 429,733.70, 644,199.87 and 145,225.29

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Solution

The fourth proportional to 429,733.70, 644,199.87 and 145,225.29 is: 217,702.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,733.70 : 644,199.87 = 145,225.29 : x
  2. Step 2: Convert to fraction form
    429,733.70/644,199.87 = 145,225.29/x
  3. Step 3: Cross multiply
    429,733.70x = 644,199.87 × 145,225.29
  4. Step 4: Simplify right side
    429,733.70x = 93,554,109,978.37
  5. Step 5: Solve for x
    x = 93,554,109,978.37/429,733.70
  6. Step 6: Final answer
    x = 217,702.52

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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.