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Finding the Fourth Proportional to 520,604.32, 780,015.26 and 284,113.06

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Solution

The fourth proportional to 520,604.32, 780,015.26 and 284,113.06 is: 425,683.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,604.32 : 780,015.26 = 284,113.06 : x
  2. Step 2: Convert to fraction form
    520,604.32/780,015.26 = 284,113.06/x
  3. Step 3: Cross multiply
    520,604.32x = 780,015.26 × 284,113.06
  4. Step 4: Simplify right side
    520,604.32x = 221,612,522,365.30
  5. Step 5: Solve for x
    x = 221,612,522,365.30/520,604.32
  6. Step 6: Final answer
    x = 425,683.22

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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.