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Finding the Fourth Proportional to 687,306, 948,436.70 and 381,362.98

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Solution

The fourth proportional to 687,306, 948,436.70 and 381,362.98 is: 526,255.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,306 : 948,436.70 = 381,362.98 : x
  2. Step 2: Convert to fraction form
    687,306/948,436.70 = 381,362.98/x
  3. Step 3: Cross multiply
    687,306x = 948,436.70 × 381,362.98
  4. Step 4: Simplify right side
    687,306x = 361,698,646,253.37
  5. Step 5: Solve for x
    x = 361,698,646,253.37/687,306
  6. Step 6: Final answer
    x = 526,255.62

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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.