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Finding the Fourth Proportional to 399,096.48, 550,847.70 and 229,429.20

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Solution

The fourth proportional to 399,096.48, 550,847.70 and 229,429.20 is: 316,666.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,096.48 : 550,847.70 = 229,429.20 : x
  2. Step 2: Convert to fraction form
    399,096.48/550,847.70 = 229,429.20/x
  3. Step 3: Cross multiply
    399,096.48x = 550,847.70 × 229,429.20
  4. Step 4: Simplify right side
    399,096.48x = 126,380,547,132.84
  5. Step 5: Solve for x
    x = 126,380,547,132.84/399,096.48
  6. Step 6: Final answer
    x = 316,666.65

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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.