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Finding the Fourth Proportional to 309,998, 465,001.32 and 88,382

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Solution

The fourth proportional to 309,998, 465,001.32 and 88,382 is: 132,574.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,998 : 465,001.32 = 88,382 : x
  2. Step 2: Convert to fraction form
    309,998/465,001.32 = 88,382/x
  3. Step 3: Cross multiply
    309,998x = 465,001.32 × 88,382
  4. Step 4: Simplify right side
    309,998x = 41,097,746,664.24
  5. Step 5: Solve for x
    x = 41,097,746,664.24/309,998
  6. Step 6: Final answer
    x = 132,574.23

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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.