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Finding the Fourth Proportional to 805,278, 1,208,114.24 and 400,661.16

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Solution

The fourth proportional to 805,278, 1,208,114.24 and 400,661.16 is: 601,089.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    805,278 : 1,208,114.24 = 400,661.16 : x
  2. Step 2: Convert to fraction form
    805,278/1,208,114.24 = 400,661.16/x
  3. Step 3: Cross multiply
    805,278x = 1,208,114.24 × 400,661.16
  4. Step 4: Simplify right side
    805,278x = 484,044,452,810.92
  5. Step 5: Solve for x
    x = 484,044,452,810.92/805,278
  6. Step 6: Final answer
    x = 601,089.88

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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.