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Finding the Fourth Proportional to 289,902.64, 400,083.08 and 162,585.52

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Solution

The fourth proportional to 289,902.64, 400,083.08 and 162,585.52 is: 224,377.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,902.64 : 400,083.08 = 162,585.52 : x
  2. Step 2: Convert to fraction form
    289,902.64/400,083.08 = 162,585.52/x
  3. Step 3: Cross multiply
    289,902.64x = 400,083.08 × 162,585.52
  4. Step 4: Simplify right side
    289,902.64x = 65,047,715,605.00
  5. Step 5: Solve for x
    x = 65,047,715,605.00/289,902.64
  6. Step 6: Final answer
    x = 224,377.80

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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.