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Finding the Fourth Proportional to 565,498.80, 780,367.68 and 310,847.76

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Solution

The fourth proportional to 565,498.80, 780,367.68 and 310,847.76 is: 428,958.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,498.80 : 780,367.68 = 310,847.76 : x
  2. Step 2: Convert to fraction form
    565,498.80/780,367.68 = 310,847.76/x
  3. Step 3: Cross multiply
    565,498.80x = 780,367.68 × 310,847.76
  4. Step 4: Simplify right side
    565,498.80x = 242,575,545,304.40
  5. Step 5: Solve for x
    x = 242,575,545,304.40/565,498.80
  6. Step 6: Final answer
    x = 428,958.55

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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.