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Finding the Fourth Proportional to 289,764, 399,875.76 and 168,989.04

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Solution

The fourth proportional to 289,764, 399,875.76 and 168,989.04 is: 233,205.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,764 : 399,875.76 = 168,989.04 : x
  2. Step 2: Convert to fraction form
    289,764/399,875.76 = 168,989.04/x
  3. Step 3: Cross multiply
    289,764x = 399,875.76 × 168,989.04
  4. Step 4: Simplify right side
    289,764x = 67,574,620,801.67
  5. Step 5: Solve for x
    x = 67,574,620,801.67/289,764
  6. Step 6: Final answer
    x = 233,205.72

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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.