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Finding the Fourth Proportional to 514,819.20, 772,228.80 and 496,156.80

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Solution

The fourth proportional to 514,819.20, 772,228.80 and 496,156.80 is: 744,235.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,819.20 : 772,228.80 = 496,156.80 : x
  2. Step 2: Convert to fraction form
    514,819.20/772,228.80 = 496,156.80/x
  3. Step 3: Cross multiply
    514,819.20x = 772,228.80 × 496,156.80
  4. Step 4: Simplify right side
    514,819.20x = 383,146,570,275.84
  5. Step 5: Solve for x
    x = 383,146,570,275.84/514,819.20
  6. Step 6: Final answer
    x = 744,235.20

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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.