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Finding the Fourth Proportional to 708,405.68, 977,591.24 and 386,114.80

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Solution

The fourth proportional to 708,405.68, 977,591.24 and 386,114.80 is: 532,833.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,405.68 : 977,591.24 = 386,114.80 : x
  2. Step 2: Convert to fraction form
    708,405.68/977,591.24 = 386,114.80/x
  3. Step 3: Cross multiply
    708,405.68x = 977,591.24 × 386,114.80
  4. Step 4: Simplify right side
    708,405.68x = 377,462,446,114.35
  5. Step 5: Solve for x
    x = 377,462,446,114.35/708,405.68
  6. Step 6: Final answer
    x = 532,833.74

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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.