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Finding the Fourth Proportional to 289,426.97, 399,395.71 and 158,597.90

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Solution

The fourth proportional to 289,426.97, 399,395.71 and 158,597.90 is: 218,857.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,426.97 : 399,395.71 = 158,597.90 : x
  2. Step 2: Convert to fraction form
    289,426.97/399,395.71 = 158,597.90/x
  3. Step 3: Cross multiply
    289,426.97x = 399,395.71 × 158,597.90
  4. Step 4: Simplify right side
    289,426.97x = 63,343,320,574.01
  5. Step 5: Solve for x
    x = 63,343,320,574.01/289,426.97
  6. Step 6: Final answer
    x = 218,857.70

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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.