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Finding the Fourth Proportional to 708,612, 977,923.44 and 406,825.44

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Solution

The fourth proportional to 708,612, 977,923.44 and 406,825.44 is: 561,441.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,612 : 977,923.44 = 406,825.44 : x
  2. Step 2: Convert to fraction form
    708,612/977,923.44 = 406,825.44/x
  3. Step 3: Cross multiply
    708,612x = 977,923.44 × 406,825.44
  4. Step 4: Simplify right side
    708,612x = 397,844,133,764.31
  5. Step 5: Solve for x
    x = 397,844,133,764.31/708,612
  6. Step 6: Final answer
    x = 561,441.43

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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.