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Finding the Fourth Proportional to 354,316.50, 488,956.77 and 195,340.50

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Solution

The fourth proportional to 354,316.50, 488,956.77 and 195,340.50 is: 269,569.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,316.50 : 488,956.77 = 195,340.50 : x
  2. Step 2: Convert to fraction form
    354,316.50/488,956.77 = 195,340.50/x
  3. Step 3: Cross multiply
    354,316.50x = 488,956.77 × 195,340.50
  4. Step 4: Simplify right side
    354,316.50x = 95,513,059,930.19
  5. Step 5: Solve for x
    x = 95,513,059,930.19/354,316.50
  6. Step 6: Final answer
    x = 269,569.89

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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.