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Finding the Fourth Proportional to 280,822.40, 421,235.40 and 112,356.80

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Solution

The fourth proportional to 280,822.40, 421,235.40 and 112,356.80 is: 168,535.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,822.40 : 421,235.40 = 112,356.80 : x
  2. Step 2: Convert to fraction form
    280,822.40/421,235.40 = 112,356.80/x
  3. Step 3: Cross multiply
    280,822.40x = 421,235.40 × 112,356.80
  4. Step 4: Simplify right side
    280,822.40x = 47,328,661,590.72
  5. Step 5: Solve for x
    x = 47,328,661,590.72/280,822.40
  6. Step 6: Final answer
    x = 168,535.92

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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.