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Finding the Fourth Proportional to 342,427.60, 513,735.88 and 142,841.84

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Solution

The fourth proportional to 342,427.60, 513,735.88 and 142,841.84 is: 214,302.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,427.60 : 513,735.88 = 142,841.84 : x
  2. Step 2: Convert to fraction form
    342,427.60/513,735.88 = 142,841.84/x
  3. Step 3: Cross multiply
    342,427.60x = 513,735.88 × 142,841.84
  4. Step 4: Simplify right side
    342,427.60x = 73,382,978,373.22
  5. Step 5: Solve for x
    x = 73,382,978,373.22/342,427.60
  6. Step 6: Final answer
    x = 214,302.17

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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.