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Finding the Fourth Proportional to 647,561.10, 971,341.65 and 513,716.70

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Solution

The fourth proportional to 647,561.10, 971,341.65 and 513,716.70 is: 770,575.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,561.10 : 971,341.65 = 513,716.70 : x
  2. Step 2: Convert to fraction form
    647,561.10/971,341.65 = 513,716.70/x
  3. Step 3: Cross multiply
    647,561.10x = 971,341.65 × 513,716.70
  4. Step 4: Simplify right side
    647,561.10x = 498,994,427,010.56
  5. Step 5: Solve for x
    x = 498,994,427,010.56/647,561.10
  6. Step 6: Final answer
    x = 770,575.05

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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.