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Finding the Fourth Proportional to 565,560.80, 780,462.24 and 339,279.20

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Solution

The fourth proportional to 565,560.80, 780,462.24 and 339,279.20 is: 468,198.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,560.80 : 780,462.24 = 339,279.20 : x
  2. Step 2: Convert to fraction form
    565,560.80/780,462.24 = 339,279.20/x
  3. Step 3: Cross multiply
    565,560.80x = 780,462.24 × 339,279.20
  4. Step 4: Simplify right side
    565,560.80x = 264,794,604,417.41
  5. Step 5: Solve for x
    x = 264,794,604,417.41/565,560.80
  6. Step 6: Final answer
    x = 468,198.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.