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Finding the Fourth Proportional to 229,678.92, 316,951 and 127,699.10

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Solution

The fourth proportional to 229,678.92, 316,951 and 127,699.10 is: 176,221.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,678.92 : 316,951 = 127,699.10 : x
  2. Step 2: Convert to fraction form
    229,678.92/316,951 = 127,699.10/x
  3. Step 3: Cross multiply
    229,678.92x = 316,951 × 127,699.10
  4. Step 4: Simplify right side
    229,678.92x = 40,474,357,444.10
  5. Step 5: Solve for x
    x = 40,474,357,444.10/229,678.92
  6. Step 6: Final answer
    x = 176,221.47

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1.5x scale

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.