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Finding the Fourth Proportional to 312,934, 469,437.63 and 99,627.19

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Solution

The fourth proportional to 312,934, 469,437.63 and 99,627.19 is: 149,452.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,934 : 469,437.63 = 99,627.19 : x
  2. Step 2: Convert to fraction form
    312,934/469,437.63 = 99,627.19/x
  3. Step 3: Cross multiply
    312,934x = 469,437.63 × 99,627.19
  4. Step 4: Simplify right side
    312,934x = 46,768,751,957.16
  5. Step 5: Solve for x
    x = 46,768,751,957.16/312,934
  6. Step 6: Final answer
    x = 149,452.45

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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.