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Finding the Fourth Proportional to 491,431.71, 737,146.94 and 154,501.77

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Solution

The fourth proportional to 491,431.71, 737,146.94 and 154,501.77 is: 231,752.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,431.71 : 737,146.94 = 154,501.77 : x
  2. Step 2: Convert to fraction form
    491,431.71/737,146.94 = 154,501.77/x
  3. Step 3: Cross multiply
    491,431.71x = 737,146.94 × 154,501.77
  4. Step 4: Simplify right side
    491,431.71x = 113,890,506,207.58
  5. Step 5: Solve for x
    x = 113,890,506,207.58/491,431.71
  6. Step 6: Final answer
    x = 231,752.46

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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.