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Finding the Fourth Proportional to 315,475.79, 435,406.58 and 200,634.71

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Solution

The fourth proportional to 315,475.79, 435,406.58 and 200,634.71 is: 276,907.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,475.79 : 435,406.58 = 200,634.71 : x
  2. Step 2: Convert to fraction form
    315,475.79/435,406.58 = 200,634.71/x
  3. Step 3: Cross multiply
    315,475.79x = 435,406.58 × 200,634.71
  4. Step 4: Simplify right side
    315,475.79x = 87,357,671,234.95
  5. Step 5: Solve for x
    x = 87,357,671,234.95/315,475.79
  6. Step 6: Final answer
    x = 276,907.68

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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.