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Finding the Fourth Proportional to 253,338.72, 349,614 and 152,743.20

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Solution

The fourth proportional to 253,338.72, 349,614 and 152,743.20 is: 210,789.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,338.72 : 349,614 = 152,743.20 : x
  2. Step 2: Convert to fraction form
    253,338.72/349,614 = 152,743.20/x
  3. Step 3: Cross multiply
    253,338.72x = 349,614 × 152,743.20
  4. Step 4: Simplify right side
    253,338.72x = 53,401,161,124.80
  5. Step 5: Solve for x
    x = 53,401,161,124.80/253,338.72
  6. Step 6: Final answer
    x = 210,789.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.