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Finding the Fourth Proportional to 315,275.60, 435,041.16 and 200,567.44

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Solution

The fourth proportional to 315,275.60, 435,041.16 and 200,567.44 is: 276,758.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,275.60 : 435,041.16 = 200,567.44 : x
  2. Step 2: Convert to fraction form
    315,275.60/435,041.16 = 200,567.44/x
  3. Step 3: Cross multiply
    315,275.60x = 435,041.16 × 200,567.44
  4. Step 4: Simplify right side
    315,275.60x = 87,255,091,755.83
  5. Step 5: Solve for x
    x = 87,255,091,755.83/315,275.60
  6. Step 6: Final answer
    x = 276,758.15

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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.