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Finding the Fourth Proportional to 687,888, 949,285.44 and 386,082

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Solution

The fourth proportional to 687,888, 949,285.44 and 386,082 is: 532,793.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,888 : 949,285.44 = 386,082 : x
  2. Step 2: Convert to fraction form
    687,888/949,285.44 = 386,082/x
  3. Step 3: Cross multiply
    687,888x = 949,285.44 × 386,082
  4. Step 4: Simplify right side
    687,888x = 366,502,021,246.08
  5. Step 5: Solve for x
    x = 366,502,021,246.08/687,888
  6. Step 6: Final answer
    x = 532,793.16

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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.