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Finding the Fourth Proportional to 306,998, 460,522.92 and 85,382

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Solution

The fourth proportional to 306,998, 460,522.92 and 85,382 is: 128,080.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,998 : 460,522.92 = 85,382 : x
  2. Step 2: Convert to fraction form
    306,998/460,522.92 = 85,382/x
  3. Step 3: Cross multiply
    306,998x = 460,522.92 × 85,382
  4. Step 4: Simplify right side
    306,998x = 39,320,367,955.44
  5. Step 5: Solve for x
    x = 39,320,367,955.44/306,998
  6. Step 6: Final answer
    x = 128,080.21

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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.