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Finding the Fourth Proportional to 687,585.12, 1,031,378 and 214,308.64

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Solution

The fourth proportional to 687,585.12, 1,031,378 and 214,308.64 is: 321,463.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,585.12 : 1,031,378 = 214,308.64 : x
  2. Step 2: Convert to fraction form
    687,585.12/1,031,378 = 214,308.64/x
  3. Step 3: Cross multiply
    687,585.12x = 1,031,378 × 214,308.64
  4. Step 4: Simplify right side
    687,585.12x = 221,033,216,505.92
  5. Step 5: Solve for x
    x = 221,033,216,505.92/687,585.12
  6. Step 6: Final answer
    x = 321,463.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.