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Finding the Fourth Proportional to 739,952, 1,021,141.08 and 400,427.54

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Solution

The fourth proportional to 739,952, 1,021,141.08 and 400,427.54 is: 552,593.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,952 : 1,021,141.08 = 400,427.54 : x
  2. Step 2: Convert to fraction form
    739,952/1,021,141.08 = 400,427.54/x
  3. Step 3: Cross multiply
    739,952x = 1,021,141.08 × 400,427.54
  4. Step 4: Simplify right side
    739,952x = 408,893,010,657.34
  5. Step 5: Solve for x
    x = 408,893,010,657.34/739,952
  6. Step 6: Final answer
    x = 552,593.97

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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.