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Finding the Fourth Proportional to 369,882.56, 510,437.76 and 208,771.40

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Solution

The fourth proportional to 369,882.56, 510,437.76 and 208,771.40 is: 288,104.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,882.56 : 510,437.76 = 208,771.40 : x
  2. Step 2: Convert to fraction form
    369,882.56/510,437.76 = 208,771.40/x
  3. Step 3: Cross multiply
    369,882.56x = 510,437.76 × 208,771.40
  4. Step 4: Simplify right side
    369,882.56x = 106,564,805,768.06
  5. Step 5: Solve for x
    x = 106,564,805,768.06/369,882.56
  6. Step 6: Final answer
    x = 288,104.43

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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.