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Finding the Fourth Proportional to 342,570.50, 513,904.76 and 105,931.43

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Solution

The fourth proportional to 342,570.50, 513,904.76 and 105,931.43 is: 158,912.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,570.50 : 513,904.76 = 105,931.43 : x
  2. Step 2: Convert to fraction form
    342,570.50/513,904.76 = 105,931.43/x
  3. Step 3: Cross multiply
    342,570.50x = 513,904.76 × 105,931.43
  4. Step 4: Simplify right side
    342,570.50x = 54,438,665,580.95
  5. Step 5: Solve for x
    x = 54,438,665,580.95/342,570.50
  6. Step 6: Final answer
    x = 158,912.30

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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.