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Finding the Fourth Proportional to 420,421.41, 630,257.13 and 154,119.76

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Solution

The fourth proportional to 420,421.41, 630,257.13 and 154,119.76 is: 231,042.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,421.41 : 630,257.13 = 154,119.76 : x
  2. Step 2: Convert to fraction form
    420,421.41/630,257.13 = 154,119.76/x
  3. Step 3: Cross multiply
    420,421.41x = 630,257.13 × 154,119.76
  4. Step 4: Simplify right side
    420,421.41x = 97,135,077,613.89
  5. Step 5: Solve for x
    x = 97,135,077,613.89/420,421.41
  6. Step 6: Final answer
    x = 231,042.18

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1.5x scale

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.