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Finding the Fourth Proportional to 315,017.95, 434,531.50 and 201,643.87

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Solution

The fourth proportional to 315,017.95, 434,531.50 and 201,643.87 is: 278,144.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,017.95 : 434,531.50 = 201,643.87 : x
  2. Step 2: Convert to fraction form
    315,017.95/434,531.50 = 201,643.87/x
  3. Step 3: Cross multiply
    315,017.95x = 434,531.50 × 201,643.87
  4. Step 4: Simplify right side
    315,017.95x = 87,620,613,296.91
  5. Step 5: Solve for x
    x = 87,620,613,296.91/315,017.95
  6. Step 6: Final answer
    x = 278,144.83

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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.