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Finding the Fourth Proportional to 257,470.10, 386,205.15 and 152,407.70

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Solution

The fourth proportional to 257,470.10, 386,205.15 and 152,407.70 is: 228,611.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,470.10 : 386,205.15 = 152,407.70 : x
  2. Step 2: Convert to fraction form
    257,470.10/386,205.15 = 152,407.70/x
  3. Step 3: Cross multiply
    257,470.10x = 386,205.15 × 152,407.70
  4. Step 4: Simplify right side
    257,470.10x = 58,860,638,639.66
  5. Step 5: Solve for x
    x = 58,860,638,639.66/257,470.10
  6. Step 6: Final answer
    x = 228,611.55

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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.