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Finding the Fourth Proportional to 289,197.48, 399,092.46 and 161,873.10

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Solution

The fourth proportional to 289,197.48, 399,092.46 and 161,873.10 is: 223,384.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,197.48 : 399,092.46 = 161,873.10 : x
  2. Step 2: Convert to fraction form
    289,197.48/399,092.46 = 161,873.10/x
  3. Step 3: Cross multiply
    289,197.48x = 399,092.46 × 161,873.10
  4. Step 4: Simplify right side
    289,197.48x = 64,602,333,686.83
  5. Step 5: Solve for x
    x = 64,602,333,686.83/289,197.48
  6. Step 6: Final answer
    x = 223,384.84

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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.