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Finding the Fourth Proportional to 342,409.36, 513,723.40 and 164,934.32

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Solution

The fourth proportional to 342,409.36, 513,723.40 and 164,934.32 is: 247,454.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,409.36 : 513,723.40 = 164,934.32 : x
  2. Step 2: Convert to fraction form
    342,409.36/513,723.40 = 164,934.32/x
  3. Step 3: Cross multiply
    342,409.36x = 513,723.40 × 164,934.32
  4. Step 4: Simplify right side
    342,409.36x = 84,730,619,647.09
  5. Step 5: Solve for x
    x = 84,730,619,647.09/342,409.36
  6. Step 6: Final answer
    x = 247,454.16

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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.