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Finding the Fourth Proportional to 937,764, 1,406,879.28 and 272,916

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Solution

The fourth proportional to 937,764, 1,406,879.28 and 272,916 is: 409,441.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    937,764 : 1,406,879.28 = 272,916 : x
  2. Step 2: Convert to fraction form
    937,764/1,406,879.28 = 272,916/x
  3. Step 3: Cross multiply
    937,764x = 1,406,879.28 × 272,916
  4. Step 4: Simplify right side
    937,764x = 383,959,865,580.48
  5. Step 5: Solve for x
    x = 383,959,865,580.48/937,764
  6. Step 6: Final answer
    x = 409,441.89

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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.