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Finding the Fourth Proportional to 257,594.32, 386,316.60 and 99,787.60

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Solution

The fourth proportional to 257,594.32, 386,316.60 and 99,787.60 is: 149,652.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,594.32 : 386,316.60 = 99,787.60 : x
  2. Step 2: Convert to fraction form
    257,594.32/386,316.60 = 99,787.60/x
  3. Step 3: Cross multiply
    257,594.32x = 386,316.60 × 99,787.60
  4. Step 4: Simplify right side
    257,594.32x = 38,549,606,354.16
  5. Step 5: Solve for x
    x = 38,549,606,354.16/257,594.32
  6. Step 6: Final answer
    x = 149,652.39

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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.