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Finding the Fourth Proportional to 538,334.90, 807,505.40 and 138,948.36

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Solution

The fourth proportional to 538,334.90, 807,505.40 and 138,948.36 is: 208,423.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,334.90 : 807,505.40 = 138,948.36 : x
  2. Step 2: Convert to fraction form
    538,334.90/807,505.40 = 138,948.36/x
  3. Step 3: Cross multiply
    538,334.90x = 807,505.40 × 138,948.36
  4. Step 4: Simplify right side
    538,334.90x = 112,201,550,326.40
  5. Step 5: Solve for x
    x = 112,201,550,326.40/538,334.90
  6. Step 6: Final answer
    x = 208,423.33

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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.