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Finding the Fourth Proportional to 520,645.16, 780,770.64 and 283,858.94

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Solution

The fourth proportional to 520,645.16, 780,770.64 and 283,858.94 is: 425,680.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,645.16 : 780,770.64 = 283,858.94 : x
  2. Step 2: Convert to fraction form
    520,645.16/780,770.64 = 283,858.94/x
  3. Step 3: Cross multiply
    520,645.16x = 780,770.64 × 283,858.94
  4. Step 4: Simplify right side
    520,645.16x = 221,628,726,253.52
  5. Step 5: Solve for x
    x = 221,628,726,253.52/520,645.16
  6. Step 6: Final answer
    x = 425,680.95

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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.