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Finding the Fourth Proportional to 289,952, 400,134.84 and 169,176.68

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Solution

The fourth proportional to 289,952, 400,134.84 and 169,176.68 is: 233,464.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,952 : 400,134.84 = 169,176.68 : x
  2. Step 2: Convert to fraction form
    289,952/400,134.84 = 169,176.68/x
  3. Step 3: Cross multiply
    289,952x = 400,134.84 × 169,176.68
  4. Step 4: Simplify right side
    289,952x = 67,693,483,783.53
  5. Step 5: Solve for x
    x = 67,693,483,783.53/289,952
  6. Step 6: Final answer
    x = 233,464.45

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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.