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Finding the Fourth Proportional to 538,492.36, 807,729.42 and 159,411.46

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Solution

The fourth proportional to 538,492.36, 807,729.42 and 159,411.46 is: 239,114.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,492.36 : 807,729.42 = 159,411.46 : x
  2. Step 2: Convert to fraction form
    538,492.36/807,729.42 = 159,411.46/x
  3. Step 3: Cross multiply
    538,492.36x = 807,729.42 × 159,411.46
  4. Step 4: Simplify right side
    538,492.36x = 128,761,326,127.15
  5. Step 5: Solve for x
    x = 128,761,326,127.15/538,492.36
  6. Step 6: Final answer
    x = 239,114.49

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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.