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Finding the Fourth Proportional to 708,470.11, 977,699 and 386,180.27

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Solution

The fourth proportional to 708,470.11, 977,699 and 386,180.27 is: 532,934.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,470.11 : 977,699 = 386,180.27 : x
  2. Step 2: Convert to fraction form
    708,470.11/977,699 = 386,180.27/x
  3. Step 3: Cross multiply
    708,470.11x = 977,699 × 386,180.27
  4. Step 4: Simplify right side
    708,470.11x = 377,568,063,798.73
  5. Step 5: Solve for x
    x = 377,568,063,798.73/708,470.11
  6. Step 6: Final answer
    x = 532,934.36

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1.5x scale

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.