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Finding the Fourth Proportional to 409,904.98, 565,718.22 and 240,139.09

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Solution

The fourth proportional to 409,904.98, 565,718.22 and 240,139.09 is: 331,420.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,904.98 : 565,718.22 = 240,139.09 : x
  2. Step 2: Convert to fraction form
    409,904.98/565,718.22 = 240,139.09/x
  3. Step 3: Cross multiply
    409,904.98x = 565,718.22 × 240,139.09
  4. Step 4: Simplify right side
    409,904.98x = 135,851,058,547.22
  5. Step 5: Solve for x
    x = 135,851,058,547.22/409,904.98
  6. Step 6: Final answer
    x = 331,420.85

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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.