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Finding the Fourth Proportional to 487,286.63, 730,921.65 and 145,730.84

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Solution

The fourth proportional to 487,286.63, 730,921.65 and 145,730.84 is: 218,593.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,286.63 : 730,921.65 = 145,730.84 : x
  2. Step 2: Convert to fraction form
    487,286.63/730,921.65 = 145,730.84/x
  3. Step 3: Cross multiply
    487,286.63x = 730,921.65 × 145,730.84
  4. Step 4: Simplify right side
    487,286.63x = 106,517,822,374.08
  5. Step 5: Solve for x
    x = 106,517,822,374.08/487,286.63
  6. Step 6: Final answer
    x = 218,593.77

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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.