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Finding the Fourth Proportional to 432,080.39, 648,151.72 and 165,840.90

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Solution

The fourth proportional to 432,080.39, 648,151.72 and 165,840.90 is: 248,773.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,080.39 : 648,151.72 = 165,840.90 : x
  2. Step 2: Convert to fraction form
    432,080.39/648,151.72 = 165,840.90/x
  3. Step 3: Cross multiply
    432,080.39x = 648,151.72 × 165,840.90
  4. Step 4: Simplify right side
    432,080.39x = 107,490,064,581.35
  5. Step 5: Solve for x
    x = 107,490,064,581.35/432,080.39
  6. Step 6: Final answer
    x = 248,773.30

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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.