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Finding the Fourth Proportional to 278,121.88, 383,666.88 and 175,975.12

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Solution

The fourth proportional to 278,121.88, 383,666.88 and 175,975.12 is: 242,756.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,121.88 : 383,666.88 = 175,975.12 : x
  2. Step 2: Convert to fraction form
    278,121.88/383,666.88 = 175,975.12/x
  3. Step 3: Cross multiply
    278,121.88x = 383,666.88 × 175,975.12
  4. Step 4: Simplify right side
    278,121.88x = 67,515,825,248.03
  5. Step 5: Solve for x
    x = 67,515,825,248.03/278,121.88
  6. Step 6: Final answer
    x = 242,756.25

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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.