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Finding the Fourth Proportional to 538,645.78, 807,989.10 and 201,651.04

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Solution

The fourth proportional to 538,645.78, 807,989.10 and 201,651.04 is: 302,484.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,645.78 : 807,989.10 = 201,651.04 : x
  2. Step 2: Convert to fraction form
    538,645.78/807,989.10 = 201,651.04/x
  3. Step 3: Cross multiply
    538,645.78x = 807,989.10 × 201,651.04
  4. Step 4: Simplify right side
    538,645.78x = 162,931,842,323.66
  5. Step 5: Solve for x
    x = 162,931,842,323.66/538,645.78
  6. Step 6: Final answer
    x = 302,484.21

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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.