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Finding the Fourth Proportional to 369,747, 510,251.04 and 199,981.08

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Solution

The fourth proportional to 369,747, 510,251.04 and 199,981.08 is: 275,973.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,747 : 510,251.04 = 199,981.08 : x
  2. Step 2: Convert to fraction form
    369,747/510,251.04 = 199,981.08/x
  3. Step 3: Cross multiply
    369,747x = 510,251.04 × 199,981.08
  4. Step 4: Simplify right side
    369,747x = 102,040,554,050.32
  5. Step 5: Solve for x
    x = 102,040,554,050.32/369,747
  6. Step 6: Final answer
    x = 275,973.99

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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.