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Finding the Fourth Proportional to 420,846.54, 631,272.22 and 140,362.98

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Solution

The fourth proportional to 420,846.54, 631,272.22 and 140,362.98 is: 210,545.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,846.54 : 631,272.22 = 140,362.98 : x
  2. Step 2: Convert to fraction form
    420,846.54/631,272.22 = 140,362.98/x
  3. Step 3: Cross multiply
    420,846.54x = 631,272.22 × 140,362.98
  4. Step 4: Simplify right side
    420,846.54x = 88,607,249,990.42
  5. Step 5: Solve for x
    x = 88,607,249,990.42/420,846.54
  6. Step 6: Final answer
    x = 210,545.27

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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.