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Finding the Fourth Proportional to 538,563.40, 807,842.64 and 139,170.22

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Solution

The fourth proportional to 538,563.40, 807,842.64 and 139,170.22 is: 208,754.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,563.40 : 807,842.64 = 139,170.22 : x
  2. Step 2: Convert to fraction form
    538,563.40/807,842.64 = 139,170.22/x
  3. Step 3: Cross multiply
    538,563.40x = 807,842.64 × 139,170.22
  4. Step 4: Simplify right side
    538,563.40x = 112,427,637,934.18
  5. Step 5: Solve for x
    x = 112,427,637,934.18/538,563.40
  6. Step 6: Final answer
    x = 208,754.69

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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.