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Finding the Fourth Proportional to 687,317.81, 948,503.86 and 381,395.39

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Solution

The fourth proportional to 687,317.81, 948,503.86 and 381,395.39 is: 526,328.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,317.81 : 948,503.86 = 381,395.39 : x
  2. Step 2: Convert to fraction form
    687,317.81/948,503.86 = 381,395.39/x
  3. Step 3: Cross multiply
    687,317.81x = 948,503.86 × 381,395.39
  4. Step 4: Simplify right side
    687,317.81x = 361,754,993,905.20
  5. Step 5: Solve for x
    x = 361,754,993,905.20/687,317.81
  6. Step 6: Final answer
    x = 526,328.56

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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.