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Finding the Fourth Proportional to 369,828, 510,362.12 and 200,061.76

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Solution

The fourth proportional to 369,828, 510,362.12 and 200,061.76 is: 276,084.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,828 : 510,362.12 = 200,061.76 : x
  2. Step 2: Convert to fraction form
    369,828/510,362.12 = 200,061.76/x
  3. Step 3: Cross multiply
    369,828x = 510,362.12 × 200,061.76
  4. Step 4: Simplify right side
    369,828x = 102,103,943,964.53
  5. Step 5: Solve for x
    x = 102,103,943,964.53/369,828
  6. Step 6: Final answer
    x = 276,084.95

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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.