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Finding the Fourth Proportional to 390,258.28, 585,390.30 and 109,803.88

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Solution

The fourth proportional to 390,258.28, 585,390.30 and 109,803.88 is: 164,706.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,258.28 : 585,390.30 = 109,803.88 : x
  2. Step 2: Convert to fraction form
    390,258.28/585,390.30 = 109,803.88/x
  3. Step 3: Cross multiply
    390,258.28x = 585,390.30 × 109,803.88
  4. Step 4: Simplify right side
    390,258.28x = 64,278,126,254.36
  5. Step 5: Solve for x
    x = 64,278,126,254.36/390,258.28
  6. Step 6: Final answer
    x = 164,706.63

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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.