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Finding the Fourth Proportional to 458,152.94, 687,497.31 and 191,891.15

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Solution

The fourth proportional to 458,152.94, 687,497.31 and 191,891.15 is: 287,948.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,152.94 : 687,497.31 = 191,891.15 : x
  2. Step 2: Convert to fraction form
    458,152.94/687,497.31 = 191,891.15/x
  3. Step 3: Cross multiply
    458,152.94x = 687,497.31 × 191,891.15
  4. Step 4: Simplify right side
    458,152.94x = 131,924,646,000.32
  5. Step 5: Solve for x
    x = 131,924,646,000.32/458,152.94
  6. Step 6: Final answer
    x = 287,948.93

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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.