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Finding the Fourth Proportional to 408,877.61, 613,319.24 and 142,637.09

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Solution

The fourth proportional to 408,877.61, 613,319.24 and 142,637.09 is: 213,956.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,877.61 : 613,319.24 = 142,637.09 : x
  2. Step 2: Convert to fraction form
    408,877.61/613,319.24 = 142,637.09/x
  3. Step 3: Cross multiply
    408,877.61x = 613,319.24 × 142,637.09
  4. Step 4: Simplify right side
    408,877.61x = 87,482,068,924.61
  5. Step 5: Solve for x
    x = 87,482,068,924.61/408,877.61
  6. Step 6: Final answer
    x = 213,956.62

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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.