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Finding the Fourth Proportional to 342,309.12, 513,465.12 and 224,724.48

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Solution

The fourth proportional to 342,309.12, 513,465.12 and 224,724.48 is: 337,087.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,309.12 : 513,465.12 = 224,724.48 : x
  2. Step 2: Convert to fraction form
    342,309.12/513,465.12 = 224,724.48/x
  3. Step 3: Cross multiply
    342,309.12x = 513,465.12 × 224,724.48
  4. Step 4: Simplify right side
    342,309.12x = 115,388,182,090.14
  5. Step 5: Solve for x
    x = 115,388,182,090.14/342,309.12
  6. Step 6: Final answer
    x = 337,087.67

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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.