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Finding the Fourth Proportional to 640,262.22, 960,497.64 and 299,046.93

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Solution

The fourth proportional to 640,262.22, 960,497.64 and 299,046.93 is: 448,619.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,262.22 : 960,497.64 = 299,046.93 : x
  2. Step 2: Convert to fraction form
    640,262.22/960,497.64 = 299,046.93/x
  3. Step 3: Cross multiply
    640,262.22x = 960,497.64 × 299,046.93
  4. Step 4: Simplify right side
    640,262.22x = 287,233,870,514.25
  5. Step 5: Solve for x
    x = 287,233,870,514.25/640,262.22
  6. Step 6: Final answer
    x = 448,619.12

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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.