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Finding the Fourth Proportional to 420,889.95, 631,428.21 and 121,347.16

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Solution

The fourth proportional to 420,889.95, 631,428.21 and 121,347.16 is: 182,047.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,889.95 : 631,428.21 = 121,347.16 : x
  2. Step 2: Convert to fraction form
    420,889.95/631,428.21 = 121,347.16/x
  3. Step 3: Cross multiply
    420,889.95x = 631,428.21 × 121,347.16
  4. Step 4: Simplify right side
    420,889.95x = 76,622,020,027.38
  5. Step 5: Solve for x
    x = 76,622,020,027.38/420,889.95
  6. Step 6: Final answer
    x = 182,047.64

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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.