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Finding the Fourth Proportional to 500,701.98, 690,969.16 and 274,347.48

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Solution

The fourth proportional to 500,701.98, 690,969.16 and 274,347.48 is: 378,599.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,701.98 : 690,969.16 = 274,347.48 : x
  2. Step 2: Convert to fraction form
    500,701.98/690,969.16 = 274,347.48/x
  3. Step 3: Cross multiply
    500,701.98x = 690,969.16 × 274,347.48
  4. Step 4: Simplify right side
    500,701.98x = 189,565,647,803.72
  5. Step 5: Solve for x
    x = 189,565,647,803.72/500,701.98
  6. Step 6: Final answer
    x = 378,599.76

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1.5x scale

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.