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Finding the Fourth Proportional to 393,807.20, 591,002.40 and 260,643.20

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Solution

The fourth proportional to 393,807.20, 591,002.40 and 260,643.20 is: 391,157.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,807.20 : 591,002.40 = 260,643.20 : x
  2. Step 2: Convert to fraction form
    393,807.20/591,002.40 = 260,643.20/x
  3. Step 3: Cross multiply
    393,807.20x = 591,002.40 × 260,643.20
  4. Step 4: Simplify right side
    393,807.20x = 154,040,756,743.68
  5. Step 5: Solve for x
    x = 154,040,756,743.68/393,807.20
  6. Step 6: Final answer
    x = 391,157.80

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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.