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Finding the Fourth Proportional to 369,881.56, 510,436.38 and 208,770.40

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Solution

The fourth proportional to 369,881.56, 510,436.38 and 208,770.40 is: 288,103.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,881.56 : 510,436.38 = 208,770.40 : x
  2. Step 2: Convert to fraction form
    369,881.56/510,436.38 = 208,770.40/x
  3. Step 3: Cross multiply
    369,881.56x = 510,436.38 × 208,770.40
  4. Step 4: Simplify right side
    369,881.56x = 106,564,007,227.15
  5. Step 5: Solve for x
    x = 106,564,007,227.15/369,881.56
  6. Step 6: Final answer
    x = 288,103.05

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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.