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Finding the Fourth Proportional to 491,202, 737,036.28 and 158,778

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Solution

The fourth proportional to 491,202, 737,036.28 and 158,778 is: 238,242.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,202 : 737,036.28 = 158,778 : x
  2. Step 2: Convert to fraction form
    491,202/737,036.28 = 158,778/x
  3. Step 3: Cross multiply
    491,202x = 737,036.28 × 158,778
  4. Step 4: Simplify right side
    491,202x = 117,025,146,465.84
  5. Step 5: Solve for x
    x = 117,025,146,465.84/491,202
  6. Step 6: Final answer
    x = 238,242.41

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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.