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Finding the Fourth Proportional to 420,449.80, 630,299.71 and 154,148.26

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Solution

The fourth proportional to 420,449.80, 630,299.71 and 154,148.26 is: 231,084.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,449.80 : 630,299.71 = 154,148.26 : x
  2. Step 2: Convert to fraction form
    420,449.80/630,299.71 = 154,148.26/x
  3. Step 3: Cross multiply
    420,449.80x = 630,299.71 × 154,148.26
  4. Step 4: Simplify right side
    420,449.80x = 97,159,603,575.00
  5. Step 5: Solve for x
    x = 97,159,603,575.00/420,449.80
  6. Step 6: Final answer
    x = 231,084.91

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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.