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Finding the Fourth Proportional to 257,561.20, 384,774.96 and 166,865.60

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Solution

The fourth proportional to 257,561.20, 384,774.96 and 166,865.60 is: 249,283.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,561.20 : 384,774.96 = 166,865.60 : x
  2. Step 2: Convert to fraction form
    257,561.20/384,774.96 = 166,865.60/x
  3. Step 3: Cross multiply
    257,561.20x = 384,774.96 × 166,865.60
  4. Step 4: Simplify right side
    257,561.20x = 64,205,704,565.38
  5. Step 5: Solve for x
    x = 64,205,704,565.38/257,561.20
  6. Step 6: Final answer
    x = 249,283.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.