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Finding the Fourth Proportional to 870,548.16, 1,305,362.72 and 271,397.60

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Solution

The fourth proportional to 870,548.16, 1,305,362.72 and 271,397.60 is: 406,953.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,548.16 : 1,305,362.72 = 271,397.60 : x
  2. Step 2: Convert to fraction form
    870,548.16/1,305,362.72 = 271,397.60/x
  3. Step 3: Cross multiply
    870,548.16x = 1,305,362.72 × 271,397.60
  4. Step 4: Simplify right side
    870,548.16x = 354,272,309,337.47
  5. Step 5: Solve for x
    x = 354,272,309,337.47/870,548.16
  6. Step 6: Final answer
    x = 406,953.14

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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.