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Finding the Fourth Proportional to 224,815.78, 310,390.41 and 144,278.02

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Solution

The fourth proportional to 224,815.78, 310,390.41 and 144,278.02 is: 199,196.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,815.78 : 310,390.41 = 144,278.02 : x
  2. Step 2: Convert to fraction form
    224,815.78/310,390.41 = 144,278.02/x
  3. Step 3: Cross multiply
    224,815.78x = 310,390.41 × 144,278.02
  4. Step 4: Simplify right side
    224,815.78x = 44,782,513,781.79
  5. Step 5: Solve for x
    x = 44,782,513,781.79/224,815.78
  6. Step 6: Final answer
    x = 199,196.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.