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Finding the Fourth Proportional to 229,260.50, 316,408.66 and 128,658.50

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Solution

The fourth proportional to 229,260.50, 316,408.66 and 128,658.50 is: 177,565.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,260.50 : 316,408.66 = 128,658.50 : x
  2. Step 2: Convert to fraction form
    229,260.50/316,408.66 = 128,658.50/x
  3. Step 3: Cross multiply
    229,260.50x = 316,408.66 × 128,658.50
  4. Step 4: Simplify right side
    229,260.50x = 40,708,663,582.61
  5. Step 5: Solve for x
    x = 40,708,663,582.61/229,260.50
  6. Step 6: Final answer
    x = 177,565.10

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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.