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Finding the Fourth Proportional to 429,770.40, 644,428.80 and 145,363.20

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Solution

The fourth proportional to 429,770.40, 644,428.80 and 145,363.20 is: 217,968.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,770.40 : 644,428.80 = 145,363.20 : x
  2. Step 2: Convert to fraction form
    429,770.40/644,428.80 = 145,363.20/x
  3. Step 3: Cross multiply
    429,770.40x = 644,428.80 × 145,363.20
  4. Step 4: Simplify right side
    429,770.40x = 93,676,232,540.16
  5. Step 5: Solve for x
    x = 93,676,232,540.16/429,770.40
  6. Step 6: Final answer
    x = 217,968.09

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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.