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Finding the Fourth Proportional to 718,535.82, 991,467.63 and 416,671.50

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Solution

The fourth proportional to 718,535.82, 991,467.63 and 416,671.50 is: 574,941.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    718,535.82 : 991,467.63 = 416,671.50 : x
  2. Step 2: Convert to fraction form
    718,535.82/991,467.63 = 416,671.50/x
  3. Step 3: Cross multiply
    718,535.82x = 991,467.63 × 416,671.50
  4. Step 4: Simplify right side
    718,535.82x = 413,116,304,593.55
  5. Step 5: Solve for x
    x = 413,116,304,593.55/718,535.82
  6. Step 6: Final answer
    x = 574,941.84

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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.