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Finding the Fourth Proportional to 491,664.70, 736,978.65 and 280,848.70

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Solution

The fourth proportional to 491,664.70, 736,978.65 and 280,848.70 is: 420,976.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,664.70 : 736,978.65 = 280,848.70 : x
  2. Step 2: Convert to fraction form
    491,664.70/736,978.65 = 280,848.70/x
  3. Step 3: Cross multiply
    491,664.70x = 736,978.65 × 280,848.70
  4. Step 4: Simplify right side
    491,664.70x = 206,979,495,780.26
  5. Step 5: Solve for x
    x = 206,979,495,780.26/491,664.70
  6. Step 6: Final answer
    x = 420,976.93

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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.