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Finding the Fourth Proportional to 506,198.88, 698,730.38 and 291,424.55

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Solution

The fourth proportional to 506,198.88, 698,730.38 and 291,424.55 is: 402,267.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,198.88 : 698,730.38 = 291,424.55 : x
  2. Step 2: Convert to fraction form
    506,198.88/698,730.38 = 291,424.55/x
  3. Step 3: Cross multiply
    506,198.88x = 698,730.38 × 291,424.55
  4. Step 4: Simplify right side
    506,198.88x = 203,627,181,612.05
  5. Step 5: Solve for x
    x = 203,627,181,612.05/506,198.88
  6. Step 6: Final answer
    x = 402,267.15

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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.