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Finding the Fourth Proportional to 538,209.33, 807,459.73 and 201,284.21

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Solution

The fourth proportional to 538,209.33, 807,459.73 and 201,284.21 is: 301,980.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,209.33 : 807,459.73 = 201,284.21 : x
  2. Step 2: Convert to fraction form
    538,209.33/807,459.73 = 201,284.21/x
  3. Step 3: Cross multiply
    538,209.33x = 807,459.73 × 201,284.21
  4. Step 4: Simplify right side
    538,209.33x = 162,528,893,859.86
  5. Step 5: Solve for x
    x = 162,528,893,859.86/538,209.33
  6. Step 6: Final answer
    x = 301,980.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.