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Finding the Fourth Proportional to 325,264, 487,264.64 and 239,719.36

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Solution

The fourth proportional to 325,264, 487,264.64 and 239,719.36 is: 359,113.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,264 : 487,264.64 = 239,719.36 : x
  2. Step 2: Convert to fraction form
    325,264/487,264.64 = 239,719.36/x
  3. Step 3: Cross multiply
    325,264x = 487,264.64 × 239,719.36
  4. Step 4: Simplify right side
    325,264x = 116,806,767,651.43
  5. Step 5: Solve for x
    x = 116,806,767,651.43/325,264
  6. Step 6: Final answer
    x = 359,113.73

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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.