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Finding the Fourth Proportional to 310,293.48, 465,430.92 and 85,667.63

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Solution

The fourth proportional to 310,293.48, 465,430.92 and 85,667.63 is: 128,498.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,293.48 : 465,430.92 = 85,667.63 : x
  2. Step 2: Convert to fraction form
    310,293.48/465,430.92 = 85,667.63/x
  3. Step 3: Cross multiply
    310,293.48x = 465,430.92 × 85,667.63
  4. Step 4: Simplify right side
    310,293.48x = 39,872,361,517.97
  5. Step 5: Solve for x
    x = 39,872,361,517.97/310,293.48
  6. Step 6: Final answer
    x = 128,498.87

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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.