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Finding the Fourth Proportional to 565,847.93, 780,884.92 and 311,205.80

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Solution

The fourth proportional to 565,847.93, 780,884.92 and 311,205.80 is: 429,472.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,847.93 : 780,884.92 = 311,205.80 : x
  2. Step 2: Convert to fraction form
    565,847.93/780,884.92 = 311,205.80/x
  3. Step 3: Cross multiply
    565,847.93x = 780,884.92 × 311,205.80
  4. Step 4: Simplify right side
    565,847.93x = 243,015,918,577.76
  5. Step 5: Solve for x
    x = 243,015,918,577.76/565,847.93
  6. Step 6: Final answer
    x = 429,472.13

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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.