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Finding the Fourth Proportional to 290,187.16, 400,497.36 and 162,869.72

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Solution

The fourth proportional to 290,187.16, 400,497.36 and 162,869.72 is: 224,782.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,187.16 : 400,497.36 = 162,869.72 : x
  2. Step 2: Convert to fraction form
    290,187.16/400,497.36 = 162,869.72/x
  3. Step 3: Cross multiply
    290,187.16x = 400,497.36 × 162,869.72
  4. Step 4: Simplify right side
    290,187.16x = 65,228,892,883.94
  5. Step 5: Solve for x
    x = 65,228,892,883.94/290,187.16
  6. Step 6: Final answer
    x = 224,782.15

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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.