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Finding the Fourth Proportional to 420,421.25, 630,256.89 and 154,119.60

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Solution

The fourth proportional to 420,421.25, 630,256.89 and 154,119.60 is: 231,041.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,421.25 : 630,256.89 = 154,119.60 : x
  2. Step 2: Convert to fraction form
    420,421.25/630,256.89 = 154,119.60/x
  3. Step 3: Cross multiply
    420,421.25x = 630,256.89 × 154,119.60
  4. Step 4: Simplify right side
    420,421.25x = 97,134,939,784.04
  5. Step 5: Solve for x
    x = 97,134,939,784.04/420,421.25
  6. Step 6: Final answer
    x = 231,041.94

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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.