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Finding the Fourth Proportional to 289,781.59, 399,860.51 and 160,718.52

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Solution

The fourth proportional to 289,781.59, 399,860.51 and 160,718.52 is: 221,770.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,781.59 : 399,860.51 = 160,718.52 : x
  2. Step 2: Convert to fraction form
    289,781.59/399,860.51 = 160,718.52/x
  3. Step 3: Cross multiply
    289,781.59x = 399,860.51 × 160,718.52
  4. Step 4: Simplify right side
    289,781.59x = 64,264,989,373.65
  5. Step 5: Solve for x
    x = 64,264,989,373.65/289,781.59
  6. Step 6: Final answer
    x = 221,770.44

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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.