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Finding the Fourth Proportional to 285,215.91, 427,881 and 105,302.46

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Solution

The fourth proportional to 285,215.91, 427,881 and 105,302.46 is: 157,974.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,215.91 : 427,881 = 105,302.46 : x
  2. Step 2: Convert to fraction form
    285,215.91/427,881 = 105,302.46/x
  3. Step 3: Cross multiply
    285,215.91x = 427,881 × 105,302.46
  4. Step 4: Simplify right side
    285,215.91x = 45,056,921,887.26
  5. Step 5: Solve for x
    x = 45,056,921,887.26/285,215.91
  6. Step 6: Final answer
    x = 157,974.78

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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.