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Finding the Fourth Proportional to 420,765.72, 631,148.58 and 105,222.63

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Solution

The fourth proportional to 420,765.72, 631,148.58 and 105,222.63 is: 157,833.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,765.72 : 631,148.58 = 105,222.63 : x
  2. Step 2: Convert to fraction form
    420,765.72/631,148.58 = 105,222.63/x
  3. Step 3: Cross multiply
    420,765.72x = 631,148.58 × 105,222.63
  4. Step 4: Simplify right side
    420,765.72x = 66,411,113,508.37
  5. Step 5: Solve for x
    x = 66,411,113,508.37/420,765.72
  6. Step 6: Final answer
    x = 157,833.95

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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.