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Finding the Fourth Proportional to 538,557.90, 807,834.39 and 139,164.72

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Solution

The fourth proportional to 538,557.90, 807,834.39 and 139,164.72 is: 208,746.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,557.90 : 807,834.39 = 139,164.72 : x
  2. Step 2: Convert to fraction form
    538,557.90/807,834.39 = 139,164.72/x
  3. Step 3: Cross multiply
    538,557.90x = 807,834.39 × 139,164.72
  4. Step 4: Simplify right side
    538,557.90x = 112,422,046,690.72
  5. Step 5: Solve for x
    x = 112,422,046,690.72/538,557.90
  6. Step 6: Final answer
    x = 208,746.44

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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.