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Finding the Fourth Proportional to 520,665.57, 780,106.82 and 284,174.19

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Solution

The fourth proportional to 520,665.57, 780,106.82 and 284,174.19 is: 425,774.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,665.57 : 780,106.82 = 284,174.19 : x
  2. Step 2: Convert to fraction form
    520,665.57/780,106.82 = 284,174.19/x
  3. Step 3: Cross multiply
    520,665.57x = 780,106.82 × 284,174.19
  4. Step 4: Simplify right side
    520,665.57x = 221,686,222,266.11
  5. Step 5: Solve for x
    x = 221,686,222,266.11/520,665.57
  6. Step 6: Final answer
    x = 425,774.69

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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.