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Finding the Fourth Proportional to 257,587.40, 386,201.10 and 152,352.20

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Solution

The fourth proportional to 257,587.40, 386,201.10 and 152,352.20 is: 228,421.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,587.40 : 386,201.10 = 152,352.20 : x
  2. Step 2: Convert to fraction form
    257,587.40/386,201.10 = 152,352.20/x
  3. Step 3: Cross multiply
    257,587.40x = 386,201.10 × 152,352.20
  4. Step 4: Simplify right side
    257,587.40x = 58,838,587,227.42
  5. Step 5: Solve for x
    x = 58,838,587,227.42/257,587.40
  6. Step 6: Final answer
    x = 228,421.84

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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.