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Finding the Fourth Proportional to 520,144.50, 780,216.75 and 146,167.50

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Solution

The fourth proportional to 520,144.50, 780,216.75 and 146,167.50 is: 219,251.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,144.50 : 780,216.75 = 146,167.50 : x
  2. Step 2: Convert to fraction form
    520,144.50/780,216.75 = 146,167.50/x
  3. Step 3: Cross multiply
    520,144.50x = 780,216.75 × 146,167.50
  4. Step 4: Simplify right side
    520,144.50x = 114,042,331,805.63
  5. Step 5: Solve for x
    x = 114,042,331,805.63/520,144.50
  6. Step 6: Final answer
    x = 219,251.25

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1.5x scale

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.