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Finding the Fourth Proportional to 371,705.89, 512,944.16 and 218,753.10

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Solution

The fourth proportional to 371,705.89, 512,944.16 and 218,753.10 is: 301,873.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,705.89 : 512,944.16 = 218,753.10 : x
  2. Step 2: Convert to fraction form
    371,705.89/512,944.16 = 218,753.10/x
  3. Step 3: Cross multiply
    371,705.89x = 512,944.16 × 218,753.10
  4. Step 4: Simplify right side
    371,705.89x = 112,208,125,126.90
  5. Step 5: Solve for x
    x = 112,208,125,126.90/371,705.89
  6. Step 6: Final answer
    x = 301,873.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.