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Finding the Fourth Proportional to 257,439.40, 386,159.10 and 213,699.40

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Solution

The fourth proportional to 257,439.40, 386,159.10 and 213,699.40 is: 320,549.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,439.40 : 386,159.10 = 213,699.40 : x
  2. Step 2: Convert to fraction form
    257,439.40/386,159.10 = 213,699.40/x
  3. Step 3: Cross multiply
    257,439.40x = 386,159.10 × 213,699.40
  4. Step 4: Simplify right side
    257,439.40x = 82,521,967,974.54
  5. Step 5: Solve for x
    x = 82,521,967,974.54/257,439.40
  6. Step 6: Final answer
    x = 320,549.10

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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.