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Finding the Fourth Proportional to 538,405.10, 807,607.65 and 164,428.10

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Solution

The fourth proportional to 538,405.10, 807,607.65 and 164,428.10 is: 246,642.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,405.10 : 807,607.65 = 164,428.10 : x
  2. Step 2: Convert to fraction form
    538,405.10/807,607.65 = 164,428.10/x
  3. Step 3: Cross multiply
    538,405.10x = 807,607.65 × 164,428.10
  4. Step 4: Simplify right side
    538,405.10x = 132,793,391,434.97
  5. Step 5: Solve for x
    x = 132,793,391,434.97/538,405.10
  6. Step 6: Final answer
    x = 246,642.15

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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.