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Finding the Fourth Proportional to 278,142.88, 383,900.70 and 163,435

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Solution

The fourth proportional to 278,142.88, 383,900.70 and 163,435 is: 225,577.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,142.88 : 383,900.70 = 163,435 : x
  2. Step 2: Convert to fraction form
    278,142.88/383,900.70 = 163,435/x
  3. Step 3: Cross multiply
    278,142.88x = 383,900.70 × 163,435
  4. Step 4: Simplify right side
    278,142.88x = 62,742,810,904.50
  5. Step 5: Solve for x
    x = 62,742,810,904.50/278,142.88
  6. Step 6: Final answer
    x = 225,577.63

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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.