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Finding the Fourth Proportional to 371,801.53, 513,086.16 and 202,035.25

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Solution

The fourth proportional to 371,801.53, 513,086.16 and 202,035.25 is: 278,808.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,801.53 : 513,086.16 = 202,035.25 : x
  2. Step 2: Convert to fraction form
    371,801.53/513,086.16 = 202,035.25/x
  3. Step 3: Cross multiply
    371,801.53x = 513,086.16 × 202,035.25
  4. Step 4: Simplify right side
    371,801.53x = 103,661,490,607.14
  5. Step 5: Solve for x
    x = 103,661,490,607.14/371,801.53
  6. Step 6: Final answer
    x = 278,808.67

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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.