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Finding the Fourth Proportional to 708,265.87, 977,382.08 and 385,969.39

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Solution

The fourth proportional to 708,265.87, 977,382.08 and 385,969.39 is: 532,624.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,265.87 : 977,382.08 = 385,969.39 : x
  2. Step 2: Convert to fraction form
    708,265.87/977,382.08 = 385,969.39/x
  3. Step 3: Cross multiply
    708,265.87x = 977,382.08 × 385,969.39
  4. Step 4: Simplify right side
    708,265.87x = 377,239,563,284.68
  5. Step 5: Solve for x
    x = 377,239,563,284.68/708,265.87
  6. Step 6: Final answer
    x = 532,624.23

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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.