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Finding the Fourth Proportional to 390,765.31, 586,065.94 and 110,216.95

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Solution

The fourth proportional to 390,765.31, 586,065.94 and 110,216.95 is: 165,302.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,765.31 : 586,065.94 = 110,216.95 : x
  2. Step 2: Convert to fraction form
    390,765.31/586,065.94 = 110,216.95/x
  3. Step 3: Cross multiply
    390,765.31x = 586,065.94 × 110,216.95
  4. Step 4: Simplify right side
    390,765.31x = 64,594,400,405.68
  5. Step 5: Solve for x
    x = 64,594,400,405.68/390,765.31
  6. Step 6: Final answer
    x = 165,302.29

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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.