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Finding the Fourth Proportional to 520,656.57, 780,093.32 and 284,165.19

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Solution

The fourth proportional to 520,656.57, 780,093.32 and 284,165.19 is: 425,761.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,656.57 : 780,093.32 = 284,165.19 : x
  2. Step 2: Convert to fraction form
    520,656.57/780,093.32 = 284,165.19/x
  3. Step 3: Cross multiply
    520,656.57x = 780,093.32 × 284,165.19
  4. Step 4: Simplify right side
    520,656.57x = 221,675,365,074.71
  5. Step 5: Solve for x
    x = 221,675,365,074.71/520,656.57
  6. Step 6: Final answer
    x = 425,761.20

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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.