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Finding the Fourth Proportional to 420,477.72, 630,799.66 and 154,240.54

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Solution

The fourth proportional to 420,477.72, 630,799.66 and 154,240.54 is: 231,391.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,477.72 : 630,799.66 = 154,240.54 : x
  2. Step 2: Convert to fraction form
    420,477.72/630,799.66 = 154,240.54/x
  3. Step 3: Cross multiply
    420,477.72x = 630,799.66 × 154,240.54
  4. Step 4: Simplify right side
    420,477.72x = 97,294,881,171.52
  5. Step 5: Solve for x
    x = 97,294,881,171.52/420,477.72
  6. Step 6: Final answer
    x = 231,391.29

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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.