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Finding the Fourth Proportional to 289,401.75, 399,374.51 and 162,077.36

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Solution

The fourth proportional to 289,401.75, 399,374.51 and 162,077.36 is: 223,666.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,401.75 : 399,374.51 = 162,077.36 : x
  2. Step 2: Convert to fraction form
    289,401.75/399,374.51 = 162,077.36/x
  3. Step 3: Cross multiply
    289,401.75x = 399,374.51 × 162,077.36
  4. Step 4: Simplify right side
    289,401.75x = 64,729,563,424.83
  5. Step 5: Solve for x
    x = 64,729,563,424.83/289,401.75
  6. Step 6: Final answer
    x = 223,666.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.