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Finding the Fourth Proportional to 429,764.99, 644,246.71 and 145,256.54

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Solution

The fourth proportional to 429,764.99, 644,246.71 and 145,256.54 is: 217,749.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,764.99 : 644,246.71 = 145,256.54 : x
  2. Step 2: Convert to fraction form
    429,764.99/644,246.71 = 145,256.54/x
  3. Step 3: Cross multiply
    429,764.99x = 644,246.71 × 145,256.54
  4. Step 4: Simplify right side
    429,764.99x = 93,581,044,416.61
  5. Step 5: Solve for x
    x = 93,581,044,416.61/429,764.99
  6. Step 6: Final answer
    x = 217,749.35

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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.