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Finding the Fourth Proportional to 420,422.41, 630,258.63 and 154,120.76

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Solution

The fourth proportional to 420,422.41, 630,258.63 and 154,120.76 is: 231,043.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,422.41 : 630,258.63 = 154,120.76 : x
  2. Step 2: Convert to fraction form
    420,422.41/630,258.63 = 154,120.76/x
  3. Step 3: Cross multiply
    420,422.41x = 630,258.63 × 154,120.76
  4. Step 4: Simplify right side
    420,422.41x = 97,135,939,052.16
  5. Step 5: Solve for x
    x = 97,135,939,052.16/420,422.41
  6. Step 6: Final answer
    x = 231,043.68

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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.