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Finding the Fourth Proportional to 342,440.80, 513,699.60 and 105,781.60

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Solution

The fourth proportional to 342,440.80, 513,699.60 and 105,781.60 is: 158,684.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,440.80 : 513,699.60 = 105,781.60 : x
  2. Step 2: Convert to fraction form
    342,440.80/513,699.60 = 105,781.60/x
  3. Step 3: Cross multiply
    342,440.80x = 513,699.60 × 105,781.60
  4. Step 4: Simplify right side
    342,440.80x = 54,339,965,607.36
  5. Step 5: Solve for x
    x = 54,339,965,607.36/342,440.80
  6. Step 6: Final answer
    x = 158,684.26

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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.