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Finding the Fourth Proportional to 390,237.53, 585,356.36 and 109,754.78

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Solution

The fourth proportional to 390,237.53, 585,356.36 and 109,754.78 is: 164,632.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,237.53 : 585,356.36 = 109,754.78 : x
  2. Step 2: Convert to fraction form
    390,237.53/585,356.36 = 109,754.78/x
  3. Step 3: Cross multiply
    390,237.53x = 585,356.36 × 109,754.78
  4. Step 4: Simplify right side
    390,237.53x = 64,245,655,037.85
  5. Step 5: Solve for x
    x = 64,245,655,037.85/390,237.53
  6. Step 6: Final answer
    x = 164,632.18

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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.