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Finding the Fourth Proportional to 289,776, 399,892.32 and 169,001.04

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Solution

The fourth proportional to 289,776, 399,892.32 and 169,001.04 is: 233,222.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,776 : 399,892.32 = 169,001.04 : x
  2. Step 2: Convert to fraction form
    289,776/399,892.32 = 169,001.04/x
  3. Step 3: Cross multiply
    289,776x = 399,892.32 × 169,001.04
  4. Step 4: Simplify right side
    289,776x = 67,582,217,968.01
  5. Step 5: Solve for x
    x = 67,582,217,968.01/289,776
  6. Step 6: Final answer
    x = 233,222.28

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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.