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Finding the Fourth Proportional to 485,058.70, 727,588.05 and 408,076.30

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Solution

The fourth proportional to 485,058.70, 727,588.05 and 408,076.30 is: 612,114.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,058.70 : 727,588.05 = 408,076.30 : x
  2. Step 2: Convert to fraction form
    485,058.70/727,588.05 = 408,076.30/x
  3. Step 3: Cross multiply
    485,058.70x = 727,588.05 × 408,076.30
  4. Step 4: Simplify right side
    485,058.70x = 296,911,439,368.22
  5. Step 5: Solve for x
    x = 296,911,439,368.22/485,058.70
  6. Step 6: Final answer
    x = 612,114.45

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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.