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Finding the Fourth Proportional to 278,235, 383,964.30 and 159,003

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Solution

The fourth proportional to 278,235, 383,964.30 and 159,003 is: 219,424.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,235 : 383,964.30 = 159,003 : x
  2. Step 2: Convert to fraction form
    278,235/383,964.30 = 159,003/x
  3. Step 3: Cross multiply
    278,235x = 383,964.30 × 159,003
  4. Step 4: Simplify right side
    278,235x = 61,051,475,592.90
  5. Step 5: Solve for x
    x = 61,051,475,592.90/278,235
  6. Step 6: Final answer
    x = 219,424.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.