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Finding the Fourth Proportional to 312,729.66, 469,134.28 and 85,030.05

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Solution

The fourth proportional to 312,729.66, 469,134.28 and 85,030.05 is: 127,555.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,729.66 : 469,134.28 = 85,030.05 : x
  2. Step 2: Convert to fraction form
    312,729.66/469,134.28 = 85,030.05/x
  3. Step 3: Cross multiply
    312,729.66x = 469,134.28 × 85,030.05
  4. Step 4: Simplify right side
    312,729.66x = 39,890,513,150.66
  5. Step 5: Solve for x
    x = 39,890,513,150.66/312,729.66
  6. Step 6: Final answer
    x = 127,555.90

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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.