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Finding the Fourth Proportional to 257,466.90, 386,200.35 and 152,231.70

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Solution

The fourth proportional to 257,466.90, 386,200.35 and 152,231.70 is: 228,347.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,466.90 : 386,200.35 = 152,231.70 : x
  2. Step 2: Convert to fraction form
    257,466.90/386,200.35 = 152,231.70/x
  3. Step 3: Cross multiply
    257,466.90x = 386,200.35 × 152,231.70
  4. Step 4: Simplify right side
    257,466.90x = 58,791,935,821.10
  5. Step 5: Solve for x
    x = 58,791,935,821.10/257,466.90
  6. Step 6: Final answer
    x = 228,347.55

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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.