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Finding the Fourth Proportional to 378,572.94, 522,134.10 and 242,619.50

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Solution

The fourth proportional to 378,572.94, 522,134.10 and 242,619.50 is: 334,624.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,572.94 : 522,134.10 = 242,619.50 : x
  2. Step 2: Convert to fraction form
    378,572.94/522,134.10 = 242,619.50/x
  3. Step 3: Cross multiply
    378,572.94x = 522,134.10 × 242,619.50
  4. Step 4: Simplify right side
    378,572.94x = 126,679,915,580.29
  5. Step 5: Solve for x
    x = 126,679,915,580.29/378,572.94
  6. Step 6: Final answer
    x = 334,624.86

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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.