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Finding the Fourth Proportional to 239,459.64, 358,645.74 and 185,720.22

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Solution

The fourth proportional to 239,459.64, 358,645.74 and 185,720.22 is: 278,158.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,459.64 : 358,645.74 = 185,720.22 : x
  2. Step 2: Convert to fraction form
    239,459.64/358,645.74 = 185,720.22/x
  3. Step 3: Cross multiply
    239,459.64x = 358,645.74 × 185,720.22
  4. Step 4: Simplify right side
    239,459.64x = 66,607,765,734.86
  5. Step 5: Solve for x
    x = 66,607,765,734.86/239,459.64
  6. Step 6: Final answer
    x = 278,158.63

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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.