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Finding the Fourth Proportional to 409,978.32, 615,157.20 and 157,174.32

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Solution

The fourth proportional to 409,978.32, 615,157.20 and 157,174.32 is: 235,834.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,978.32 : 615,157.20 = 157,174.32 : x
  2. Step 2: Convert to fraction form
    409,978.32/615,157.20 = 157,174.32/x
  3. Step 3: Cross multiply
    409,978.32x = 615,157.20 × 157,174.32
  4. Step 4: Simplify right side
    409,978.32x = 96,686,914,603.10
  5. Step 5: Solve for x
    x = 96,686,914,603.10/409,978.32
  6. Step 6: Final answer
    x = 235,834.21

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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.