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Finding the Fourth Proportional to 420,475.10, 630,795.87 and 154,237.91

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Solution

The fourth proportional to 420,475.10, 630,795.87 and 154,237.91 is: 231,387.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,475.10 : 630,795.87 = 154,237.91 : x
  2. Step 2: Convert to fraction form
    420,475.10/630,795.87 = 154,237.91/x
  3. Step 3: Cross multiply
    420,475.10x = 630,795.87 × 154,237.91
  4. Step 4: Simplify right side
    420,475.10x = 97,292,633,471.45
  5. Step 5: Solve for x
    x = 97,292,633,471.45/420,475.10
  6. Step 6: Final answer
    x = 231,387.39

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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.