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Finding the Fourth Proportional to 708,471.61, 977,701.07 and 386,181.77

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Solution

The fourth proportional to 708,471.61, 977,701.07 and 386,181.77 is: 532,936.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,471.61 : 977,701.07 = 386,181.77 : x
  2. Step 2: Convert to fraction form
    708,471.61/977,701.07 = 386,181.77/x
  3. Step 3: Cross multiply
    708,471.61x = 977,701.07 × 386,181.77
  4. Step 4: Simplify right side
    708,471.61x = 377,570,329,743.49
  5. Step 5: Solve for x
    x = 377,570,329,743.49/708,471.61
  6. Step 6: Final answer
    x = 532,936.43

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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.