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Finding the Fourth Proportional to 347,925.76, 480,129.60 and 204,654.40

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Solution

The fourth proportional to 347,925.76, 480,129.60 and 204,654.40 is: 282,418.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,925.76 : 480,129.60 = 204,654.40 : x
  2. Step 2: Convert to fraction form
    347,925.76/480,129.60 = 204,654.40/x
  3. Step 3: Cross multiply
    347,925.76x = 480,129.60 × 204,654.40
  4. Step 4: Simplify right side
    347,925.76x = 98,260,635,210.24
  5. Step 5: Solve for x
    x = 98,260,635,210.24/347,925.76
  6. Step 6: Final answer
    x = 282,418.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.