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Finding the Fourth Proportional to 840,394, 1,260,601.98 and 279,428.50

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Solution

The fourth proportional to 840,394, 1,260,601.98 and 279,428.50 is: 419,146.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,394 : 1,260,601.98 = 279,428.50 : x
  2. Step 2: Convert to fraction form
    840,394/1,260,601.98 = 279,428.50/x
  3. Step 3: Cross multiply
    840,394x = 1,260,601.98 × 279,428.50
  4. Step 4: Simplify right side
    840,394x = 352,248,120,368.43
  5. Step 5: Solve for x
    x = 352,248,120,368.43/840,394
  6. Step 6: Final answer
    x = 419,146.40

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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.