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Finding the Fourth Proportional to 266,678.48, 399,958.40 and 77,097.44

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Solution

The fourth proportional to 266,678.48, 399,958.40 and 77,097.44 is: 115,629.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,678.48 : 399,958.40 = 77,097.44 : x
  2. Step 2: Convert to fraction form
    266,678.48/399,958.40 = 77,097.44/x
  3. Step 3: Cross multiply
    266,678.48x = 399,958.40 × 77,097.44
  4. Step 4: Simplify right side
    266,678.48x = 30,835,768,746.50
  5. Step 5: Solve for x
    x = 30,835,768,746.50/266,678.48
  6. Step 6: Final answer
    x = 115,629.01

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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.