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Finding the Fourth Proportional to 489,306.80, 733,085.40 and 400,077.20

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Solution

The fourth proportional to 489,306.80, 733,085.40 and 400,077.20 is: 599,400.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,306.80 : 733,085.40 = 400,077.20 : x
  2. Step 2: Convert to fraction form
    489,306.80/733,085.40 = 400,077.20/x
  3. Step 3: Cross multiply
    489,306.80x = 733,085.40 × 400,077.20
  4. Step 4: Simplify right side
    489,306.80x = 293,290,754,192.88
  5. Step 5: Solve for x
    x = 293,290,754,192.88/489,306.80
  6. Step 6: Final answer
    x = 599,400.53

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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.