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Finding the Fourth Proportional to 342,405.36, 513,717.40 and 164,930.32

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Solution

The fourth proportional to 342,405.36, 513,717.40 and 164,930.32 is: 247,448.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,405.36 : 513,717.40 = 164,930.32 : x
  2. Step 2: Convert to fraction form
    342,405.36/513,717.40 = 164,930.32/x
  3. Step 3: Cross multiply
    342,405.36x = 513,717.40 × 164,930.32
  4. Step 4: Simplify right side
    342,405.36x = 84,727,575,171.57
  5. Step 5: Solve for x
    x = 84,727,575,171.57/342,405.36
  6. Step 6: Final answer
    x = 247,448.16

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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.