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Finding the Fourth Proportional to 429,666.35, 643,888.49 and 316,456.29

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Solution

The fourth proportional to 429,666.35, 643,888.49 and 316,456.29 is: 474,234.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,666.35 : 643,888.49 = 316,456.29 : x
  2. Step 2: Convert to fraction form
    429,666.35/643,888.49 = 316,456.29/x
  3. Step 3: Cross multiply
    429,666.35x = 643,888.49 × 316,456.29
  4. Step 4: Simplify right side
    429,666.35x = 203,762,561,136.82
  5. Step 5: Solve for x
    x = 203,762,561,136.82/429,666.35
  6. Step 6: Final answer
    x = 474,234.40

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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.