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Finding the Fourth Proportional to 407,521.60, 611,743.20 and 241,403.20

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Solution

The fourth proportional to 407,521.60, 611,743.20 and 241,403.20 is: 362,377.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,521.60 : 611,743.20 = 241,403.20 : x
  2. Step 2: Convert to fraction form
    407,521.60/611,743.20 = 241,403.20/x
  3. Step 3: Cross multiply
    407,521.60x = 611,743.20 × 241,403.20
  4. Step 4: Simplify right side
    407,521.60x = 147,676,766,058.24
  5. Step 5: Solve for x
    x = 147,676,766,058.24/407,521.60
  6. Step 6: Final answer
    x = 362,377.76

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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.