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Finding the Fourth Proportional to 342,678.93, 513,713.09 and 162,653.30

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Solution

The fourth proportional to 342,678.93, 513,713.09 and 162,653.30 is: 243,835.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,678.93 : 513,713.09 = 162,653.30 : x
  2. Step 2: Convert to fraction form
    342,678.93/513,713.09 = 162,653.30/x
  3. Step 3: Cross multiply
    342,678.93x = 513,713.09 × 162,653.30
  4. Step 4: Simplify right side
    342,678.93x = 83,557,125,959.87
  5. Step 5: Solve for x
    x = 83,557,125,959.87/342,678.93
  6. Step 6: Final answer
    x = 243,835.03

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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.