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Finding the Fourth Proportional to 289,427.76, 399,411.53 and 168,651.90

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Solution

The fourth proportional to 289,427.76, 399,411.53 and 168,651.90 is: 232,740.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,427.76 : 399,411.53 = 168,651.90 : x
  2. Step 2: Convert to fraction form
    289,427.76/399,411.53 = 168,651.90/x
  3. Step 3: Cross multiply
    289,427.76x = 399,411.53 × 168,651.90
  4. Step 4: Simplify right side
    289,427.76x = 67,361,513,416.41
  5. Step 5: Solve for x
    x = 67,361,513,416.41/289,427.76
  6. Step 6: Final answer
    x = 232,740.33

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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.