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Finding the Fourth Proportional to 257,429.40, 355,252.68 and 156,827.40

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Solution

The fourth proportional to 257,429.40, 355,252.68 and 156,827.40 is: 216,421.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,429.40 : 355,252.68 = 156,827.40 : x
  2. Step 2: Convert to fraction form
    257,429.40/355,252.68 = 156,827.40/x
  3. Step 3: Cross multiply
    257,429.40x = 355,252.68 × 156,827.40
  4. Step 4: Simplify right side
    257,429.40x = 55,713,354,147.43
  5. Step 5: Solve for x
    x = 55,713,354,147.43/257,429.40
  6. Step 6: Final answer
    x = 216,421.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.