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Finding the Fourth Proportional to 347,070, 478,956.92 and 188,094

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Solution

The fourth proportional to 347,070, 478,956.92 and 188,094 is: 259,569.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,070 : 478,956.92 = 188,094 : x
  2. Step 2: Convert to fraction form
    347,070/478,956.92 = 188,094/x
  3. Step 3: Cross multiply
    347,070x = 478,956.92 × 188,094
  4. Step 4: Simplify right side
    347,070x = 90,088,922,910.48
  5. Step 5: Solve for x
    x = 90,088,922,910.48/347,070
  6. Step 6: Final answer
    x = 259,569.89

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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.