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Finding the Fourth Proportional to 375,624.78, 518,364.16 and 203,542.81

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Solution

The fourth proportional to 375,624.78, 518,364.16 and 203,542.81 is: 280,890.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,624.78 : 518,364.16 = 203,542.81 : x
  2. Step 2: Convert to fraction form
    375,624.78/518,364.16 = 203,542.81/x
  3. Step 3: Cross multiply
    375,624.78x = 518,364.16 × 203,542.81
  4. Step 4: Simplify right side
    375,624.78x = 105,509,295,924.92
  5. Step 5: Solve for x
    x = 105,509,295,924.92/375,624.78
  6. Step 6: Final answer
    x = 280,890.14

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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.