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Finding the Fourth Proportional to 520,030.70, 780,118.95 and 204,414.20

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Solution

The fourth proportional to 520,030.70, 780,118.95 and 204,414.20 is: 306,649.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,030.70 : 780,118.95 = 204,414.20 : x
  2. Step 2: Convert to fraction form
    520,030.70/780,118.95 = 204,414.20/x
  3. Step 3: Cross multiply
    520,030.70x = 780,118.95 × 204,414.20
  4. Step 4: Simplify right side
    520,030.70x = 159,467,391,069.09
  5. Step 5: Solve for x
    x = 159,467,391,069.09/520,030.70
  6. Step 6: Final answer
    x = 306,649.96

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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.