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Finding the Fourth Proportional to 520,041.70, 780,135.45 and 204,425.20

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Solution

The fourth proportional to 520,041.70, 780,135.45 and 204,425.20 is: 306,666.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,041.70 : 780,135.45 = 204,425.20 : x
  2. Step 2: Convert to fraction form
    520,041.70/780,135.45 = 204,425.20/x
  3. Step 3: Cross multiply
    520,041.70x = 780,135.45 × 204,425.20
  4. Step 4: Simplify right side
    520,041.70x = 159,479,345,393.34
  5. Step 5: Solve for x
    x = 159,479,345,393.34/520,041.70
  6. Step 6: Final answer
    x = 306,666.46

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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.