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Finding the Fourth Proportional to 280,078.50, 419,218.65 and 146,768.70

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Solution

The fourth proportional to 280,078.50, 419,218.65 and 146,768.70 is: 219,681.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,078.50 : 419,218.65 = 146,768.70 : x
  2. Step 2: Convert to fraction form
    280,078.50/419,218.65 = 146,768.70/x
  3. Step 3: Cross multiply
    280,078.50x = 419,218.65 × 146,768.70
  4. Step 4: Simplify right side
    280,078.50x = 61,528,176,276.26
  5. Step 5: Solve for x
    x = 61,528,176,276.26/280,078.50
  6. Step 6: Final answer
    x = 219,681.90

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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.