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Finding the Fourth Proportional to 521,752.95, 782,591.14 and 166,671.63

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Solution

The fourth proportional to 521,752.95, 782,591.14 and 166,671.63 is: 249,995.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,752.95 : 782,591.14 = 166,671.63 : x
  2. Step 2: Convert to fraction form
    521,752.95/782,591.14 = 166,671.63/x
  3. Step 3: Cross multiply
    521,752.95x = 782,591.14 × 166,671.63
  4. Step 4: Simplify right side
    521,752.95x = 130,435,736,597.72
  5. Step 5: Solve for x
    x = 130,435,736,597.72/521,752.95
  6. Step 6: Final answer
    x = 249,995.21

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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.