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Finding the Fourth Proportional to 420,447.86, 630,296.83 and 154,146.32

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Solution

The fourth proportional to 420,447.86, 630,296.83 and 154,146.32 is: 231,082.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,447.86 : 630,296.83 = 154,146.32 : x
  2. Step 2: Convert to fraction form
    420,447.86/630,296.83 = 154,146.32/x
  3. Step 3: Cross multiply
    420,447.86x = 630,296.83 × 154,146.32
  4. Step 4: Simplify right side
    420,447.86x = 97,157,938,042.54
  5. Step 5: Solve for x
    x = 97,157,938,042.54/420,447.86
  6. Step 6: Final answer
    x = 231,082.01

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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.