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Finding the Fourth Proportional to 342,330.80, 513,748.24 and 162,416.57

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Solution

The fourth proportional to 342,330.80, 513,748.24 and 162,416.57 is: 243,744.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,330.80 : 513,748.24 = 162,416.57 : x
  2. Step 2: Convert to fraction form
    342,330.80/513,748.24 = 162,416.57/x
  3. Step 3: Cross multiply
    342,330.80x = 513,748.24 × 162,416.57
  4. Step 4: Simplify right side
    342,330.80x = 83,441,224,009.55
  5. Step 5: Solve for x
    x = 83,441,224,009.55/342,330.80
  6. Step 6: Final answer
    x = 243,744.43

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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.