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Finding the Fourth Proportional to 390,232.53, 585,348.86 and 109,749.78

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Solution

The fourth proportional to 390,232.53, 585,348.86 and 109,749.78 is: 164,624.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,232.53 : 585,348.86 = 109,749.78 : x
  2. Step 2: Convert to fraction form
    390,232.53/585,348.86 = 109,749.78/x
  3. Step 3: Cross multiply
    390,232.53x = 585,348.86 × 109,749.78
  4. Step 4: Simplify right side
    390,232.53x = 64,241,908,608.25
  5. Step 5: Solve for x
    x = 64,241,908,608.25/390,232.53
  6. Step 6: Final answer
    x = 164,624.69

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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.