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Finding the Fourth Proportional to 432,886.80, 597,209.12 and 287,762.76

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Solution

The fourth proportional to 432,886.80, 597,209.12 and 287,762.76 is: 396,996.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,886.80 : 597,209.12 = 287,762.76 : x
  2. Step 2: Convert to fraction form
    432,886.80/597,209.12 = 287,762.76/x
  3. Step 3: Cross multiply
    432,886.80x = 597,209.12 × 287,762.76
  4. Step 4: Simplify right side
    432,886.80x = 171,854,543,229.56
  5. Step 5: Solve for x
    x = 171,854,543,229.56/432,886.80
  6. Step 6: Final answer
    x = 396,996.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.