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Finding the Fourth Proportional to 292,416.48, 438,640.20 and 82,070.82

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Solution

The fourth proportional to 292,416.48, 438,640.20 and 82,070.82 is: 123,110.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,416.48 : 438,640.20 = 82,070.82 : x
  2. Step 2: Convert to fraction form
    292,416.48/438,640.20 = 82,070.82/x
  3. Step 3: Cross multiply
    292,416.48x = 438,640.20 × 82,070.82
  4. Step 4: Simplify right side
    292,416.48x = 35,999,560,898.96
  5. Step 5: Solve for x
    x = 35,999,560,898.96/292,416.48
  6. Step 6: Final answer
    x = 123,110.57

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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.