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Finding the Fourth Proportional to 551,961.64, 761,728.66 and 310,243.47

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Solution

The fourth proportional to 551,961.64, 761,728.66 and 310,243.47 is: 428,148.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,961.64 : 761,728.66 = 310,243.47 : x
  2. Step 2: Convert to fraction form
    551,961.64/761,728.66 = 310,243.47/x
  3. Step 3: Cross multiply
    551,961.64x = 761,728.66 × 310,243.47
  4. Step 4: Simplify right side
    551,961.64x = 236,321,339,044.76
  5. Step 5: Solve for x
    x = 236,321,339,044.76/551,961.64
  6. Step 6: Final answer
    x = 428,148.12

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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.