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Finding the Fourth Proportional to 315,475.48, 435,406.15 and 200,634.39

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Solution

The fourth proportional to 315,475.48, 435,406.15 and 200,634.39 is: 276,907.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,475.48 : 435,406.15 = 200,634.39 : x
  2. Step 2: Convert to fraction form
    315,475.48/435,406.15 = 200,634.39/x
  3. Step 3: Cross multiply
    315,475.48x = 435,406.15 × 200,634.39
  4. Step 4: Simplify right side
    315,475.48x = 87,357,447,307.50
  5. Step 5: Solve for x
    x = 87,357,447,307.50/315,475.48
  6. Step 6: Final answer
    x = 276,907.25

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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.