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Finding the Fourth Proportional to 342,282.80, 512,986.80 and 164,406.80

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Solution

The fourth proportional to 342,282.80, 512,986.80 and 164,406.80 is: 246,400.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,282.80 : 512,986.80 = 164,406.80 : x
  2. Step 2: Convert to fraction form
    342,282.80/512,986.80 = 164,406.80/x
  3. Step 3: Cross multiply
    342,282.80x = 512,986.80 × 164,406.80
  4. Step 4: Simplify right side
    342,282.80x = 84,338,518,230.24
  5. Step 5: Solve for x
    x = 84,338,518,230.24/342,282.80
  6. Step 6: Final answer
    x = 246,400.11

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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.