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Finding the Fourth Proportional to 309,971.80, 465,045.18 and 120,490.12

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Solution

The fourth proportional to 309,971.80, 465,045.18 and 120,490.12 is: 180,769.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,971.80 : 465,045.18 = 120,490.12 : x
  2. Step 2: Convert to fraction form
    309,971.80/465,045.18 = 120,490.12/x
  3. Step 3: Cross multiply
    309,971.80x = 465,045.18 × 120,490.12
  4. Step 4: Simplify right side
    309,971.80x = 56,033,349,543.62
  5. Step 5: Solve for x
    x = 56,033,349,543.62/309,971.80
  6. Step 6: Final answer
    x = 180,769.18

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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.