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Finding the Fourth Proportional to 687,922.32, 949,280.76 and 386,058

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Solution

The fourth proportional to 687,922.32, 949,280.76 and 386,058 is: 532,730.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,922.32 : 949,280.76 = 386,058 : x
  2. Step 2: Convert to fraction form
    687,922.32/949,280.76 = 386,058/x
  3. Step 3: Cross multiply
    687,922.32x = 949,280.76 × 386,058
  4. Step 4: Simplify right side
    687,922.32x = 366,477,431,644.08
  5. Step 5: Solve for x
    x = 366,477,431,644.08/687,922.32
  6. Step 6: Final answer
    x = 532,730.83

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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.