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Finding the Fourth Proportional to 257,438.40, 355,265.10 and 156,836.40

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Solution

The fourth proportional to 257,438.40, 355,265.10 and 156,836.40 is: 216,434.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,438.40 : 355,265.10 = 156,836.40 : x
  2. Step 2: Convert to fraction form
    257,438.40/355,265.10 = 156,836.40/x
  3. Step 3: Cross multiply
    257,438.40x = 355,265.10 × 156,836.40
  4. Step 4: Simplify right side
    257,438.40x = 55,718,499,329.64
  5. Step 5: Solve for x
    x = 55,718,499,329.64/257,438.40
  6. Step 6: Final answer
    x = 216,434.30

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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.