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Finding the Fourth Proportional to 598,278.80, 896,543.40 and 509,049.20

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Solution

The fourth proportional to 598,278.80, 896,543.40 and 509,049.20 is: 762,829.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,278.80 : 896,543.40 = 509,049.20 : x
  2. Step 2: Convert to fraction form
    598,278.80/896,543.40 = 509,049.20/x
  3. Step 3: Cross multiply
    598,278.80x = 896,543.40 × 509,049.20
  4. Step 4: Simplify right side
    598,278.80x = 456,384,700,535.28
  5. Step 5: Solve for x
    x = 456,384,700,535.28/598,278.80
  6. Step 6: Final answer
    x = 762,829.47

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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.