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Finding the Fourth Proportional to 708,309.81, 977,468.40 and 386,020.26

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Solution

The fourth proportional to 708,309.81, 977,468.40 and 386,020.26 is: 532,708.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,309.81 : 977,468.40 = 386,020.26 : x
  2. Step 2: Convert to fraction form
    708,309.81/977,468.40 = 386,020.26/x
  3. Step 3: Cross multiply
    708,309.81x = 977,468.40 × 386,020.26
  4. Step 4: Simplify right side
    708,309.81x = 377,322,605,909.78
  5. Step 5: Solve for x
    x = 377,322,605,909.78/708,309.81
  6. Step 6: Final answer
    x = 532,708.43

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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.