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Finding the Fourth Proportional to 547,278.40, 821,004 and 231,737.28

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Solution

The fourth proportional to 547,278.40, 821,004 and 231,737.28 is: 347,642.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,278.40 : 821,004 = 231,737.28 : x
  2. Step 2: Convert to fraction form
    547,278.40/821,004 = 231,737.28/x
  3. Step 3: Cross multiply
    547,278.40x = 821,004 × 231,737.28
  4. Step 4: Simplify right side
    547,278.40x = 190,257,233,829.12
  5. Step 5: Solve for x
    x = 190,257,233,829.12/547,278.40
  6. Step 6: Final answer
    x = 347,642.50

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1.5x scale

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.