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Finding the Fourth Proportional to 390,168.66, 585,253.29 and 105,859.20

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Solution

The fourth proportional to 390,168.66, 585,253.29 and 105,859.20 is: 158,788.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,168.66 : 585,253.29 = 105,859.20 : x
  2. Step 2: Convert to fraction form
    390,168.66/585,253.29 = 105,859.20/x
  3. Step 3: Cross multiply
    390,168.66x = 585,253.29 × 105,859.20
  4. Step 4: Simplify right side
    390,168.66x = 61,954,445,076.77
  5. Step 5: Solve for x
    x = 61,954,445,076.77/390,168.66
  6. Step 6: Final answer
    x = 158,788.88

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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.