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Finding the Fourth Proportional to 310,053.91, 465,184.60 and 120,520.60

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Solution

The fourth proportional to 310,053.91, 465,184.60 and 120,520.60 is: 180,821.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,053.91 : 465,184.60 = 120,520.60 : x
  2. Step 2: Convert to fraction form
    310,053.91/465,184.60 = 120,520.60/x
  3. Step 3: Cross multiply
    310,053.91x = 465,184.60 × 120,520.60
  4. Step 4: Simplify right side
    310,053.91x = 56,064,327,102.76
  5. Step 5: Solve for x
    x = 56,064,327,102.76/310,053.91
  6. Step 6: Final answer
    x = 180,821.22

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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.