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Finding the Fourth Proportional to 409,625.86, 565,052.16 and 256,398.03

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Solution

The fourth proportional to 409,625.86, 565,052.16 and 256,398.03 is: 353,684.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,625.86 : 565,052.16 = 256,398.03 : x
  2. Step 2: Convert to fraction form
    409,625.86/565,052.16 = 256,398.03/x
  3. Step 3: Cross multiply
    409,625.86x = 565,052.16 × 256,398.03
  4. Step 4: Simplify right side
    409,625.86x = 144,878,260,671.25
  5. Step 5: Solve for x
    x = 144,878,260,671.25/409,625.86
  6. Step 6: Final answer
    x = 353,684.36

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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.