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Finding the Fourth Proportional to 520,118.95, 780,327.87 and 216,454

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Solution

The fourth proportional to 520,118.95, 780,327.87 and 216,454 is: 324,743.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,118.95 : 780,327.87 = 216,454 : x
  2. Step 2: Convert to fraction form
    520,118.95/780,327.87 = 216,454/x
  3. Step 3: Cross multiply
    520,118.95x = 780,327.87 × 216,454
  4. Step 4: Simplify right side
    520,118.95x = 168,905,088,772.98
  5. Step 5: Solve for x
    x = 168,905,088,772.98/520,118.95
  6. Step 6: Final answer
    x = 324,743.19

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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.