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Finding the Fourth Proportional to 408,672.16, 613,011.65 and 142,432.24

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Solution

The fourth proportional to 408,672.16, 613,011.65 and 142,432.24 is: 213,649.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,672.16 : 613,011.65 = 142,432.24 : x
  2. Step 2: Convert to fraction form
    408,672.16/613,011.65 = 142,432.24/x
  3. Step 3: Cross multiply
    408,672.16x = 613,011.65 × 142,432.24
  4. Step 4: Simplify right side
    408,672.16x = 87,312,622,455.60
  5. Step 5: Solve for x
    x = 87,312,622,455.60/408,672.16
  6. Step 6: Final answer
    x = 213,649.55

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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.