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Finding the Fourth Proportional to 408,956.20, 613,434.30 and 128,501.80

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Solution

The fourth proportional to 408,956.20, 613,434.30 and 128,501.80 is: 192,752.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,956.20 : 613,434.30 = 128,501.80 : x
  2. Step 2: Convert to fraction form
    408,956.20/613,434.30 = 128,501.80/x
  3. Step 3: Cross multiply
    408,956.20x = 613,434.30 × 128,501.80
  4. Step 4: Simplify right side
    408,956.20x = 78,827,411,731.74
  5. Step 5: Solve for x
    x = 78,827,411,731.74/408,956.20
  6. Step 6: Final answer
    x = 192,752.70

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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.