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Finding the Fourth Proportional to 520,204.54, 780,306.80 and 146,227.54

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Solution

The fourth proportional to 520,204.54, 780,306.80 and 146,227.54 is: 219,341.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,204.54 : 780,306.80 = 146,227.54 : x
  2. Step 2: Convert to fraction form
    520,204.54/780,306.80 = 146,227.54/x
  3. Step 3: Cross multiply
    520,204.54x = 780,306.80 × 146,227.54
  4. Step 4: Simplify right side
    520,204.54x = 114,102,343,809.27
  5. Step 5: Solve for x
    x = 114,102,343,809.27/520,204.54
  6. Step 6: Final answer
    x = 219,341.31

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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.