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Finding the Fourth Proportional to 688,519, 950,245.32 and 386,713

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Solution

The fourth proportional to 688,519, 950,245.32 and 386,713 is: 533,713.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,519 : 950,245.32 = 386,713 : x
  2. Step 2: Convert to fraction form
    688,519/950,245.32 = 386,713/x
  3. Step 3: Cross multiply
    688,519x = 950,245.32 × 386,713
  4. Step 4: Simplify right side
    688,519x = 367,472,218,433.16
  5. Step 5: Solve for x
    x = 367,472,218,433.16/688,519
  6. Step 6: Final answer
    x = 533,713.98

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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.