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Finding the Fourth Proportional to 390,155.30, 585,232.93 and 109,672.55

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Solution

The fourth proportional to 390,155.30, 585,232.93 and 109,672.55 is: 164,508.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,155.30 : 585,232.93 = 109,672.55 : x
  2. Step 2: Convert to fraction form
    390,155.30/585,232.93 = 109,672.55/x
  3. Step 3: Cross multiply
    390,155.30x = 585,232.93 × 109,672.55
  4. Step 4: Simplify right side
    390,155.30x = 64,183,987,777.07
  5. Step 5: Solve for x
    x = 64,183,987,777.07/390,155.30
  6. Step 6: Final answer
    x = 164,508.82

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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.