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Finding the Fourth Proportional to 442,139.84, 663,071.52 and 192,570.56

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Solution

The fourth proportional to 442,139.84, 663,071.52 and 192,570.56 is: 288,795.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,139.84 : 663,071.52 = 192,570.56 : x
  2. Step 2: Convert to fraction form
    442,139.84/663,071.52 = 192,570.56/x
  3. Step 3: Cross multiply
    442,139.84x = 663,071.52 × 192,570.56
  4. Step 4: Simplify right side
    442,139.84x = 127,688,053,926.45
  5. Step 5: Solve for x
    x = 127,688,053,926.45/442,139.84
  6. Step 6: Final answer
    x = 288,795.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.