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Finding the Fourth Proportional to 508,963.59, 763,346.97 and 153,894.42

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Solution

The fourth proportional to 508,963.59, 763,346.97 and 153,894.42 is: 230,811.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,963.59 : 763,346.97 = 153,894.42 : x
  2. Step 2: Convert to fraction form
    508,963.59/763,346.97 = 153,894.42/x
  3. Step 3: Cross multiply
    508,963.59x = 763,346.97 × 153,894.42
  4. Step 4: Simplify right side
    508,963.59x = 117,474,839,206.91
  5. Step 5: Solve for x
    x = 117,474,839,206.91/508,963.59
  6. Step 6: Final answer
    x = 230,811.87

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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.