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Finding the Fourth Proportional to 312,103.72, 467,999.70 and 101,715.40

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Solution

The fourth proportional to 312,103.72, 467,999.70 and 101,715.40 is: 152,522.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,103.72 : 467,999.70 = 101,715.40 : x
  2. Step 2: Convert to fraction form
    312,103.72/467,999.70 = 101,715.40/x
  3. Step 3: Cross multiply
    312,103.72x = 467,999.70 × 101,715.40
  4. Step 4: Simplify right side
    312,103.72x = 47,602,776,685.38
  5. Step 5: Solve for x
    x = 47,602,776,685.38/312,103.72
  6. Step 6: Final answer
    x = 152,522.30

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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.