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Finding the Fourth Proportional to 280,037.04, 419,156.40 and 146,727.20

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Solution

The fourth proportional to 280,037.04, 419,156.40 and 146,727.20 is: 219,619.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,037.04 : 419,156.40 = 146,727.20 : x
  2. Step 2: Convert to fraction form
    280,037.04/419,156.40 = 146,727.20/x
  3. Step 3: Cross multiply
    280,037.04x = 419,156.40 × 146,727.20
  4. Step 4: Simplify right side
    280,037.04x = 61,501,644,934.08
  5. Step 5: Solve for x
    x = 61,501,644,934.08/280,037.04
  6. Step 6: Final answer
    x = 219,619.68

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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.