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Finding the Fourth Proportional to 420,950.72, 631,421.28 and 121,421.42

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Solution

The fourth proportional to 420,950.72, 631,421.28 and 121,421.42 is: 182,130.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,950.72 : 631,421.28 = 121,421.42 : x
  2. Step 2: Convert to fraction form
    420,950.72/631,421.28 = 121,421.42/x
  3. Step 3: Cross multiply
    420,950.72x = 631,421.28 × 121,421.42
  4. Step 4: Simplify right side
    420,950.72x = 76,668,068,435.82
  5. Step 5: Solve for x
    x = 76,668,068,435.82/420,950.72
  6. Step 6: Final answer
    x = 182,130.75

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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.