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Finding the Fourth Proportional to 786,051, 1,179,325.72 and 280,601.14

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Solution

The fourth proportional to 786,051, 1,179,325.72 and 280,601.14 is: 420,990.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,051 : 1,179,325.72 = 280,601.14 : x
  2. Step 2: Convert to fraction form
    786,051/1,179,325.72 = 280,601.14/x
  3. Step 3: Cross multiply
    786,051x = 1,179,325.72 × 280,601.14
  4. Step 4: Simplify right side
    786,051x = 330,920,141,463.32
  5. Step 5: Solve for x
    x = 330,920,141,463.32/786,051
  6. Step 6: Final answer
    x = 420,990.68

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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.