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Finding the Fourth Proportional to 469,448.82, 647,821.88 and 278,347.86

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Solution

The fourth proportional to 469,448.82, 647,821.88 and 278,347.86 is: 384,109.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,448.82 : 647,821.88 = 278,347.86 : x
  2. Step 2: Convert to fraction form
    469,448.82/647,821.88 = 278,347.86/x
  3. Step 3: Cross multiply
    469,448.82x = 647,821.88 × 278,347.86
  4. Step 4: Simplify right side
    469,448.82x = 180,319,833,959.18
  5. Step 5: Solve for x
    x = 180,319,833,959.18/469,448.82
  6. Step 6: Final answer
    x = 384,109.68

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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.