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Finding the Fourth Proportional to 407,714.80, 611,572.20 and 248,047.60

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Solution

The fourth proportional to 407,714.80, 611,572.20 and 248,047.60 is: 372,071.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,714.80 : 611,572.20 = 248,047.60 : x
  2. Step 2: Convert to fraction form
    407,714.80/611,572.20 = 248,047.60/x
  3. Step 3: Cross multiply
    407,714.80x = 611,572.20 × 248,047.60
  4. Step 4: Simplify right side
    407,714.80x = 151,699,016,436.72
  5. Step 5: Solve for x
    x = 151,699,016,436.72/407,714.80
  6. Step 6: Final answer
    x = 372,071.40

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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.