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Finding the Fourth Proportional to 493,263.84, 680,643.90 and 278,390.28

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Solution

The fourth proportional to 493,263.84, 680,643.90 and 278,390.28 is: 384,144.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,263.84 : 680,643.90 = 278,390.28 : x
  2. Step 2: Convert to fraction form
    493,263.84/680,643.90 = 278,390.28/x
  3. Step 3: Cross multiply
    493,263.84x = 680,643.90 × 278,390.28
  4. Step 4: Simplify right side
    493,263.84x = 189,484,645,901.29
  5. Step 5: Solve for x
    x = 189,484,645,901.29/493,263.84
  6. Step 6: Final answer
    x = 384,144.61

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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.