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Finding the Fourth Proportional to 420,562.16, 630,840 and 105,016.96

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Solution

The fourth proportional to 420,562.16, 630,840 and 105,016.96 is: 157,524.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,562.16 : 630,840 = 105,016.96 : x
  2. Step 2: Convert to fraction form
    420,562.16/630,840 = 105,016.96/x
  3. Step 3: Cross multiply
    420,562.16x = 630,840 × 105,016.96
  4. Step 4: Simplify right side
    420,562.16x = 66,248,899,046.40
  5. Step 5: Solve for x
    x = 66,248,899,046.40/420,562.16
  6. Step 6: Final answer
    x = 157,524.63

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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.