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Finding the Fourth Proportional to 312,077.80, 467,502.30 and 289,959.40

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Solution

The fourth proportional to 312,077.80, 467,502.30 and 289,959.40 is: 434,368.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,077.80 : 467,502.30 = 289,959.40 : x
  2. Step 2: Convert to fraction form
    312,077.80/467,502.30 = 289,959.40/x
  3. Step 3: Cross multiply
    312,077.80x = 467,502.30 × 289,959.40
  4. Step 4: Simplify right side
    312,077.80x = 135,556,686,406.62
  5. Step 5: Solve for x
    x = 135,556,686,406.62/312,077.80
  6. Step 6: Final answer
    x = 434,368.25

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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.