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Finding the Fourth Proportional to 610,765.32, 915,705.12 and 410,589.22

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Solution

The fourth proportional to 610,765.32, 915,705.12 and 410,589.22 is: 615,586.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,765.32 : 915,705.12 = 410,589.22 : x
  2. Step 2: Convert to fraction form
    610,765.32/915,705.12 = 410,589.22/x
  3. Step 3: Cross multiply
    610,765.32x = 915,705.12 × 410,589.22
  4. Step 4: Simplify right side
    610,765.32x = 375,978,650,970.81
  5. Step 5: Solve for x
    x = 375,978,650,970.81/610,765.32
  6. Step 6: Final answer
    x = 615,586.12

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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.