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Finding the Fourth Proportional to 408,029.04, 611,420.00 and 171,242.55

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Solution

The fourth proportional to 408,029.04, 611,420.00 and 171,242.55 is: 256,602.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,029.04 : 611,420.00 = 171,242.55 : x
  2. Step 2: Convert to fraction form
    408,029.04/611,420.00 = 171,242.55/x
  3. Step 3: Cross multiply
    408,029.04x = 611,420.00 × 171,242.55
  4. Step 4: Simplify right side
    408,029.04x = 104,701,119,064.79
  5. Step 5: Solve for x
    x = 104,701,119,064.79/408,029.04
  6. Step 6: Final answer
    x = 256,602.13

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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.