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Finding the Fourth Proportional to 708,171.80, 977,264.42 and 385,884.68

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Solution

The fourth proportional to 708,171.80, 977,264.42 and 385,884.68 is: 532,513.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,171.80 : 977,264.42 = 385,884.68 : x
  2. Step 2: Convert to fraction form
    708,171.80/977,264.42 = 385,884.68/x
  3. Step 3: Cross multiply
    708,171.80x = 977,264.42 × 385,884.68
  4. Step 4: Simplify right side
    708,171.80x = 377,111,367,987.09
  5. Step 5: Solve for x
    x = 377,111,367,987.09/708,171.80
  6. Step 6: Final answer
    x = 532,513.96

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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.