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Finding the Fourth Proportional to 432,859.30, 649,288.95 and 283,560.10

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Solution

The fourth proportional to 432,859.30, 649,288.95 and 283,560.10 is: 425,340.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,859.30 : 649,288.95 = 283,560.10 : x
  2. Step 2: Convert to fraction form
    432,859.30/649,288.95 = 283,560.10/x
  3. Step 3: Cross multiply
    432,859.30x = 649,288.95 × 283,560.10
  4. Step 4: Simplify right side
    432,859.30x = 184,112,439,590.90
  5. Step 5: Solve for x
    x = 184,112,439,590.90/432,859.30
  6. Step 6: Final answer
    x = 425,340.15

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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.