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Finding the Fourth Proportional to 289,208.04, 399,104.32 and 166,655.40

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Solution

The fourth proportional to 289,208.04, 399,104.32 and 166,655.40 is: 229,982.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,208.04 : 399,104.32 = 166,655.40 : x
  2. Step 2: Convert to fraction form
    289,208.04/399,104.32 = 166,655.40/x
  3. Step 3: Cross multiply
    289,208.04x = 399,104.32 × 166,655.40
  4. Step 4: Simplify right side
    289,208.04x = 66,512,887,262.53
  5. Step 5: Solve for x
    x = 66,512,887,262.53/289,208.04
  6. Step 6: Final answer
    x = 229,982.84

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1.5x scale

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.