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Finding the Fourth Proportional to 487,148.80, 730,838.40 and 154,724.80

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Solution

The fourth proportional to 487,148.80, 730,838.40 and 154,724.80 is: 232,123.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,148.80 : 730,838.40 = 154,724.80 : x
  2. Step 2: Convert to fraction form
    487,148.80/730,838.40 = 154,724.80/x
  3. Step 3: Cross multiply
    487,148.80x = 730,838.40 × 154,724.80
  4. Step 4: Simplify right side
    487,148.80x = 113,078,825,272.32
  5. Step 5: Solve for x
    x = 113,078,825,272.32/487,148.80
  6. Step 6: Final answer
    x = 232,123.79

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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.