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Finding the Fourth Proportional to 536,419.84, 804,631.68 and 181,436.80

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Solution

The fourth proportional to 536,419.84, 804,631.68 and 181,436.80 is: 272,155.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,419.84 : 804,631.68 = 181,436.80 : x
  2. Step 2: Convert to fraction form
    536,419.84/804,631.68 = 181,436.80/x
  3. Step 3: Cross multiply
    536,419.84x = 804,631.68 × 181,436.80
  4. Step 4: Simplify right side
    536,419.84x = 145,989,797,197.82
  5. Step 5: Solve for x
    x = 145,989,797,197.82/536,419.84
  6. Step 6: Final answer
    x = 272,155.85

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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.