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Finding the Fourth Proportional to 280,710.48, 421,067.52 and 112,244.94

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Solution

The fourth proportional to 280,710.48, 421,067.52 and 112,244.94 is: 168,368.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,710.48 : 421,067.52 = 112,244.94 : x
  2. Step 2: Convert to fraction form
    280,710.48/421,067.52 = 112,244.94/x
  3. Step 3: Cross multiply
    280,710.48x = 421,067.52 × 112,244.94
  4. Step 4: Simplify right side
    280,710.48x = 47,262,698,518.35
  5. Step 5: Solve for x
    x = 47,262,698,518.35/280,710.48
  6. Step 6: Final answer
    x = 168,368.13

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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.