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Finding the Fourth Proportional to 257,466.90, 386,200.35 and 213,726.90

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Solution

The fourth proportional to 257,466.90, 386,200.35 and 213,726.90 is: 320,590.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,466.90 : 386,200.35 = 213,726.90 : x
  2. Step 2: Convert to fraction form
    257,466.90/386,200.35 = 213,726.90/x
  3. Step 3: Cross multiply
    257,466.90x = 386,200.35 × 213,726.90
  4. Step 4: Simplify right side
    257,466.90x = 82,541,403,584.42
  5. Step 5: Solve for x
    x = 82,541,403,584.42/257,466.90
  6. Step 6: Final answer
    x = 320,590.35

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1.5x scale

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.