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Finding the Fourth Proportional to 342,407.36, 513,720.40 and 164,932.32

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Solution

The fourth proportional to 342,407.36, 513,720.40 and 164,932.32 is: 247,451.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,407.36 : 513,720.40 = 164,932.32 : x
  2. Step 2: Convert to fraction form
    342,407.36/513,720.40 = 164,932.32/x
  3. Step 3: Cross multiply
    342,407.36x = 513,720.40 × 164,932.32
  4. Step 4: Simplify right side
    342,407.36x = 84,729,097,403.33
  5. Step 5: Solve for x
    x = 84,729,097,403.33/342,407.36
  6. Step 6: Final answer
    x = 247,451.16

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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.