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Finding the Fourth Proportional to 565,221.90, 780,006.02 and 310,589.48

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Solution

The fourth proportional to 565,221.90, 780,006.02 and 310,589.48 is: 428,613.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,221.90 : 780,006.02 = 310,589.48 : x
  2. Step 2: Convert to fraction form
    565,221.90/780,006.02 = 310,589.48/x
  3. Step 3: Cross multiply
    565,221.90x = 780,006.02 × 310,589.48
  4. Step 4: Simplify right side
    565,221.90x = 242,261,664,148.67
  5. Step 5: Solve for x
    x = 242,261,664,148.67/565,221.90
  6. Step 6: Final answer
    x = 428,613.37

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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.