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Finding the Fourth Proportional to 310,630.60, 465,894 and 86,013.74

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Solution

The fourth proportional to 310,630.60, 465,894 and 86,013.74 is: 129,006.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,630.60 : 465,894 = 86,013.74 : x
  2. Step 2: Convert to fraction form
    310,630.60/465,894 = 86,013.74/x
  3. Step 3: Cross multiply
    310,630.60x = 465,894 × 86,013.74
  4. Step 4: Simplify right side
    310,630.60x = 40,073,285,383.56
  5. Step 5: Solve for x
    x = 40,073,285,383.56/310,630.60
  6. Step 6: Final answer
    x = 129,006.24

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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.