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Finding the Fourth Proportional to 257,645.60, 386,468.40 and 213,322.40

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Solution

The fourth proportional to 257,645.60, 386,468.40 and 213,322.40 is: 319,983.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,645.60 : 386,468.40 = 213,322.40 : x
  2. Step 2: Convert to fraction form
    257,645.60/386,468.40 = 213,322.40/x
  3. Step 3: Cross multiply
    257,645.60x = 386,468.40 × 213,322.40
  4. Step 4: Simplify right side
    257,645.60x = 82,442,366,612.16
  5. Step 5: Solve for x
    x = 82,442,366,612.16/257,645.60
  6. Step 6: Final answer
    x = 319,983.60

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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.