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Finding the Fourth Proportional to 409,919.20, 565,602.48 and 248,859.04

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Solution

The fourth proportional to 409,919.20, 565,602.48 and 248,859.04 is: 343,373.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,919.20 : 565,602.48 = 248,859.04 : x
  2. Step 2: Convert to fraction form
    409,919.20/565,602.48 = 248,859.04/x
  3. Step 3: Cross multiply
    409,919.20x = 565,602.48 × 248,859.04
  4. Step 4: Simplify right side
    409,919.20x = 140,755,290,194.42
  5. Step 5: Solve for x
    x = 140,755,290,194.42/409,919.20
  6. Step 6: Final answer
    x = 343,373.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.