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Finding the Fourth Proportional to 312,187.80, 466,899.30 and 262,421.40

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Solution

The fourth proportional to 312,187.80, 466,899.30 and 262,421.40 is: 392,470.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,187.80 : 466,899.30 = 262,421.40 : x
  2. Step 2: Convert to fraction form
    312,187.80/466,899.30 = 262,421.40/x
  3. Step 3: Cross multiply
    312,187.80x = 466,899.30 × 262,421.40
  4. Step 4: Simplify right side
    312,187.80x = 122,524,367,965.02
  5. Step 5: Solve for x
    x = 122,524,367,965.02/312,187.80
  6. Step 6: Final answer
    x = 392,470.07

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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.