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Finding the Fourth Proportional to 390,120, 585,180.24 and 94,632

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Solution

The fourth proportional to 390,120, 585,180.24 and 94,632 is: 141,948.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,120 : 585,180.24 = 94,632 : x
  2. Step 2: Convert to fraction form
    390,120/585,180.24 = 94,632/x
  3. Step 3: Cross multiply
    390,120x = 585,180.24 × 94,632
  4. Step 4: Simplify right side
    390,120x = 55,376,776,471.68
  5. Step 5: Solve for x
    x = 55,376,776,471.68/390,120
  6. Step 6: Final answer
    x = 141,948.06

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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.