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Finding the Fourth Proportional to 420,791.68, 630,811.86 and 154,490.32

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Solution

The fourth proportional to 420,791.68, 630,811.86 and 154,490.32 is: 231,597.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,791.68 : 630,811.86 = 154,490.32 : x
  2. Step 2: Convert to fraction form
    420,791.68/630,811.86 = 154,490.32/x
  3. Step 3: Cross multiply
    420,791.68x = 630,811.86 × 154,490.32
  4. Step 4: Simplify right side
    420,791.68x = 97,454,326,111.20
  5. Step 5: Solve for x
    x = 97,454,326,111.20/420,791.68
  6. Step 6: Final answer
    x = 231,597.56

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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.