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Finding the Fourth Proportional to 429,895.91, 644,940.45 and 145,570.11

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Solution

The fourth proportional to 429,895.91, 644,940.45 and 145,570.11 is: 218,387.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,895.91 : 644,940.45 = 145,570.11 : x
  2. Step 2: Convert to fraction form
    429,895.91/644,940.45 = 145,570.11/x
  3. Step 3: Cross multiply
    429,895.91x = 644,940.45 × 145,570.11
  4. Step 4: Simplify right side
    429,895.91x = 93,884,052,249.95
  5. Step 5: Solve for x
    x = 93,884,052,249.95/429,895.91
  6. Step 6: Final answer
    x = 218,387.87

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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.