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Finding the Fourth Proportional to 739,978.16, 1,021,172.42 and 400,446.32

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Solution

The fourth proportional to 739,978.16, 1,021,172.42 and 400,446.32 is: 552,617.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,978.16 : 1,021,172.42 = 400,446.32 : x
  2. Step 2: Convert to fraction form
    739,978.16/1,021,172.42 = 400,446.32/x
  3. Step 3: Cross multiply
    739,978.16x = 1,021,172.42 × 400,446.32
  4. Step 4: Simplify right side
    739,978.16x = 408,924,737,674.49
  5. Step 5: Solve for x
    x = 408,924,737,674.49/739,978.16
  6. Step 6: Final answer
    x = 552,617.31

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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.