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Finding the Fourth Proportional to 312,179.80, 468,269.70 and 307,514.20

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Solution

The fourth proportional to 312,179.80, 468,269.70 and 307,514.20 is: 461,271.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,179.80 : 468,269.70 = 307,514.20 : x
  2. Step 2: Convert to fraction form
    312,179.80/468,269.70 = 307,514.20/x
  3. Step 3: Cross multiply
    312,179.80x = 468,269.70 × 307,514.20
  4. Step 4: Simplify right side
    312,179.80x = 143,999,582,179.74
  5. Step 5: Solve for x
    x = 143,999,582,179.74/312,179.80
  6. Step 6: Final answer
    x = 461,271.30

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1.5x scale

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.