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Finding the Fourth Proportional to 312,475.05, 468,734.59 and 154,661.13

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Solution

The fourth proportional to 312,475.05, 468,734.59 and 154,661.13 is: 232,002.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,475.05 : 468,734.59 = 154,661.13 : x
  2. Step 2: Convert to fraction form
    312,475.05/468,734.59 = 154,661.13/x
  3. Step 3: Cross multiply
    312,475.05x = 468,734.59 × 154,661.13
  4. Step 4: Simplify right side
    312,475.05x = 72,495,021,359.49
  5. Step 5: Solve for x
    x = 72,495,021,359.49/312,475.05
  6. Step 6: Final answer
    x = 232,002.59

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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.