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Finding the Fourth Proportional to 708,135.06, 977,214 and 385,847.82

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Solution

The fourth proportional to 708,135.06, 977,214 and 385,847.82 is: 532,463.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,135.06 : 977,214 = 385,847.82 : x
  2. Step 2: Convert to fraction form
    708,135.06/977,214 = 385,847.82/x
  3. Step 3: Cross multiply
    708,135.06x = 977,214 × 385,847.82
  4. Step 4: Simplify right side
    708,135.06x = 377,055,891,573.48
  5. Step 5: Solve for x
    x = 377,055,891,573.48/708,135.06
  6. Step 6: Final answer
    x = 532,463.24

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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.