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Finding the Fourth Proportional to 708,419.32, 977,590.02 and 386,122.48

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Solution

The fourth proportional to 708,419.32, 977,590.02 and 386,122.48 is: 532,833.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,419.32 : 977,590.02 = 386,122.48 : x
  2. Step 2: Convert to fraction form
    708,419.32/977,590.02 = 386,122.48/x
  3. Step 3: Cross multiply
    708,419.32x = 977,590.02 × 386,122.48
  4. Step 4: Simplify right side
    708,419.32x = 377,469,482,945.65
  5. Step 5: Solve for x
    x = 377,469,482,945.65/708,419.32
  6. Step 6: Final answer
    x = 532,833.41

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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.