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Finding the Fourth Proportional to 342,019.72, 513,038.40 and 162,062.92

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Solution

The fourth proportional to 342,019.72, 513,038.40 and 162,062.92 is: 243,098.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,019.72 : 513,038.40 = 162,062.92 : x
  2. Step 2: Convert to fraction form
    342,019.72/513,038.40 = 162,062.92/x
  3. Step 3: Cross multiply
    342,019.72x = 513,038.40 × 162,062.92
  4. Step 4: Simplify right side
    342,019.72x = 83,144,501,176.13
  5. Step 5: Solve for x
    x = 83,144,501,176.13/342,019.72
  6. Step 6: Final answer
    x = 243,098.56

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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.