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Finding the Fourth Proportional to 390,231.53, 585,347.36 and 109,748.78

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Solution

The fourth proportional to 390,231.53, 585,347.36 and 109,748.78 is: 164,623.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,231.53 : 585,347.36 = 109,748.78 : x
  2. Step 2: Convert to fraction form
    390,231.53/585,347.36 = 109,748.78/x
  3. Step 3: Cross multiply
    390,231.53x = 585,347.36 × 109,748.78
  4. Step 4: Simplify right side
    390,231.53x = 64,241,155,160.74
  5. Step 5: Solve for x
    x = 64,241,155,160.74/390,231.53
  6. Step 6: Final answer
    x = 164,623.18

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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.