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Finding the Fourth Proportional to 420,452.55, 630,303.84 and 154,151.01

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Solution

The fourth proportional to 420,452.55, 630,303.84 and 154,151.01 is: 231,089.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,452.55 : 630,303.84 = 154,151.01 : x
  2. Step 2: Convert to fraction form
    420,452.55/630,303.84 = 154,151.01/x
  3. Step 3: Cross multiply
    420,452.55x = 630,303.84 × 154,151.01
  4. Step 4: Simplify right side
    420,452.55x = 97,161,973,542.88
  5. Step 5: Solve for x
    x = 97,161,973,542.88/420,452.55
  6. Step 6: Final answer
    x = 231,089.03

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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.