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Finding the Fourth Proportional to 429,876.35, 644,203.46 and 316,666.29

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Solution

The fourth proportional to 429,876.35, 644,203.46 and 316,666.29 is: 474,549.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,876.35 : 644,203.46 = 316,666.29 : x
  2. Step 2: Convert to fraction form
    429,876.35/644,203.46 = 316,666.29/x
  3. Step 3: Cross multiply
    429,876.35x = 644,203.46 × 316,666.29
  4. Step 4: Simplify right side
    429,876.35x = 203,997,520,475.03
  5. Step 5: Solve for x
    x = 203,997,520,475.03/429,876.35
  6. Step 6: Final answer
    x = 474,549.30

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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.