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Finding the Fourth Proportional to 432,030.30, 648,045.45 and 274,371.90

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Solution

The fourth proportional to 432,030.30, 648,045.45 and 274,371.90 is: 411,557.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,030.30 : 648,045.45 = 274,371.90 : x
  2. Step 2: Convert to fraction form
    432,030.30/648,045.45 = 274,371.90/x
  3. Step 3: Cross multiply
    432,030.30x = 648,045.45 × 274,371.90
  4. Step 4: Simplify right side
    432,030.30x = 177,805,461,402.86
  5. Step 5: Solve for x
    x = 177,805,461,402.86/432,030.30
  6. Step 6: Final answer
    x = 411,557.85

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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.