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Finding the Fourth Proportional to 390,616.80, 584,542.80 and 266,200.80

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Solution

The fourth proportional to 390,616.80, 584,542.80 and 266,200.80 is: 398,359.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,616.80 : 584,542.80 = 266,200.80 : x
  2. Step 2: Convert to fraction form
    390,616.80/584,542.80 = 266,200.80/x
  3. Step 3: Cross multiply
    390,616.80x = 584,542.80 × 266,200.80
  4. Step 4: Simplify right side
    390,616.80x = 155,605,760,994.24
  5. Step 5: Solve for x
    x = 155,605,760,994.24/390,616.80
  6. Step 6: Final answer
    x = 398,359.11

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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.