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Finding the Fourth Proportional to 369,981, 510,573.78 and 200,216.34

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Solution

The fourth proportional to 369,981, 510,573.78 and 200,216.34 is: 276,298.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,981 : 510,573.78 = 200,216.34 : x
  2. Step 2: Convert to fraction form
    369,981/510,573.78 = 200,216.34/x
  3. Step 3: Cross multiply
    369,981x = 510,573.78 × 200,216.34
  4. Step 4: Simplify right side
    369,981x = 102,225,213,531.57
  5. Step 5: Solve for x
    x = 102,225,213,531.57/369,981
  6. Step 6: Final answer
    x = 276,298.55

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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.