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Finding the Fourth Proportional to 272,782.68, 409,118.12 and 171,534.30

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Solution

The fourth proportional to 272,782.68, 409,118.12 and 171,534.30 is: 257,266.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,782.68 : 409,118.12 = 171,534.30 : x
  2. Step 2: Convert to fraction form
    272,782.68/409,118.12 = 171,534.30/x
  3. Step 3: Cross multiply
    272,782.68x = 409,118.12 × 171,534.30
  4. Step 4: Simplify right side
    272,782.68x = 70,177,788,582.91
  5. Step 5: Solve for x
    x = 70,177,788,582.91/272,782.68
  6. Step 6: Final answer
    x = 257,266.30

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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.