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Finding the Fourth Proportional to 312,897.65, 469,068.08 and 113,173.61

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Solution

The fourth proportional to 312,897.65, 469,068.08 and 113,173.61 is: 169,659.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,897.65 : 469,068.08 = 113,173.61 : x
  2. Step 2: Convert to fraction form
    312,897.65/469,068.08 = 113,173.61/x
  3. Step 3: Cross multiply
    312,897.65x = 469,068.08 × 113,173.61
  4. Step 4: Simplify right side
    312,897.65x = 53,086,125,038.16
  5. Step 5: Solve for x
    x = 53,086,125,038.16/312,897.65
  6. Step 6: Final answer
    x = 169,659.71

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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.