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Finding the Fourth Proportional to 491,727.20, 737,590.80 and 159,303.20

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Solution

The fourth proportional to 491,727.20, 737,590.80 and 159,303.20 is: 238,954.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,727.20 : 737,590.80 = 159,303.20 : x
  2. Step 2: Convert to fraction form
    491,727.20/737,590.80 = 159,303.20/x
  3. Step 3: Cross multiply
    491,727.20x = 737,590.80 × 159,303.20
  4. Step 4: Simplify right side
    491,727.20x = 117,500,574,730.56
  5. Step 5: Solve for x
    x = 117,500,574,730.56/491,727.20
  6. Step 6: Final answer
    x = 238,954.80

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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.