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Finding the Fourth Proportional to 310,006, 465,013.32 and 88,390

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Solution

The fourth proportional to 310,006, 465,013.32 and 88,390 is: 132,586.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,006 : 465,013.32 = 88,390 : x
  2. Step 2: Convert to fraction form
    310,006/465,013.32 = 88,390/x
  3. Step 3: Cross multiply
    310,006x = 465,013.32 × 88,390
  4. Step 4: Simplify right side
    310,006x = 41,102,527,354.80
  5. Step 5: Solve for x
    x = 41,102,527,354.80/310,006
  6. Step 6: Final answer
    x = 132,586.23

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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.