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Finding the Fourth Proportional to 285,437.02, 428,215.65 and 107,940.10

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Solution

The fourth proportional to 285,437.02, 428,215.65 and 107,940.10 is: 161,932.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,437.02 : 428,215.65 = 107,940.10 : x
  2. Step 2: Convert to fraction form
    285,437.02/428,215.65 = 107,940.10/x
  3. Step 3: Cross multiply
    285,437.02x = 428,215.65 × 107,940.10
  4. Step 4: Simplify right side
    285,437.02x = 46,221,638,607.25
  5. Step 5: Solve for x
    x = 46,221,638,607.25/285,437.02
  6. Step 6: Final answer
    x = 161,932.88

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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.