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Finding the Fourth Proportional to 342,541.36, 513,147.12 and 252,420.50

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Solution

The fourth proportional to 342,541.36, 513,147.12 and 252,420.50 is: 378,140.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,541.36 : 513,147.12 = 252,420.50 : x
  2. Step 2: Convert to fraction form
    342,541.36/513,147.12 = 252,420.50/x
  3. Step 3: Cross multiply
    342,541.36x = 513,147.12 × 252,420.50
  4. Step 4: Simplify right side
    342,541.36x = 129,528,852,603.96
  5. Step 5: Solve for x
    x = 129,528,852,603.96/342,541.36
  6. Step 6: Final answer
    x = 378,140.77

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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.