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Finding the Fourth Proportional to 408,670.16, 613,008.65 and 142,430.24

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Solution

The fourth proportional to 408,670.16, 613,008.65 and 142,430.24 is: 213,646.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,670.16 : 613,008.65 = 142,430.24 : x
  2. Step 2: Convert to fraction form
    408,670.16/613,008.65 = 142,430.24/x
  3. Step 3: Cross multiply
    408,670.16x = 613,008.65 × 142,430.24
  4. Step 4: Simplify right side
    408,670.16x = 87,310,969,141.58
  5. Step 5: Solve for x
    x = 87,310,969,141.58/408,670.16
  6. Step 6: Final answer
    x = 213,646.55

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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.