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Finding the Fourth Proportional to 491,506.74, 737,389.04 and 154,533.78

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Solution

The fourth proportional to 491,506.74, 737,389.04 and 154,533.78 is: 231,841.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,506.74 : 737,389.04 = 154,533.78 : x
  2. Step 2: Convert to fraction form
    491,506.74/737,389.04 = 154,533.78/x
  3. Step 3: Cross multiply
    491,506.74x = 737,389.04 × 154,533.78
  4. Step 4: Simplify right side
    491,506.74x = 113,951,514,909.10
  5. Step 5: Solve for x
    x = 113,951,514,909.10/491,506.74
  6. Step 6: Final answer
    x = 231,841.21

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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.