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Finding the Fourth Proportional to 342,429.60, 513,699.12 and 105,716.64

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Solution

The fourth proportional to 342,429.60, 513,699.12 and 105,716.64 is: 158,591.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,429.60 : 513,699.12 = 105,716.64 : x
  2. Step 2: Convert to fraction form
    342,429.60/513,699.12 = 105,716.64/x
  3. Step 3: Cross multiply
    342,429.60x = 513,699.12 × 105,716.64
  4. Step 4: Simplify right side
    342,429.60x = 54,306,544,937.36
  5. Step 5: Solve for x
    x = 54,306,544,937.36/342,429.60
  6. Step 6: Final answer
    x = 158,591.85

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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.