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Finding the Fourth Proportional to 432,971.30, 649,456.95 and 291,253.70

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Solution

The fourth proportional to 432,971.30, 649,456.95 and 291,253.70 is: 436,880.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,971.30 : 649,456.95 = 291,253.70 : x
  2. Step 2: Convert to fraction form
    432,971.30/649,456.95 = 291,253.70/x
  3. Step 3: Cross multiply
    432,971.30x = 649,456.95 × 291,253.70
  4. Step 4: Simplify right side
    432,971.30x = 189,156,739,678.22
  5. Step 5: Solve for x
    x = 189,156,739,678.22/432,971.30
  6. Step 6: Final answer
    x = 436,880.55

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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.