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Finding the Fourth Proportional to 290,322.42, 400,651.28 and 159,501.76

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Solution

The fourth proportional to 290,322.42, 400,651.28 and 159,501.76 is: 220,115.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,322.42 : 400,651.28 = 159,501.76 : x
  2. Step 2: Convert to fraction form
    290,322.42/400,651.28 = 159,501.76/x
  3. Step 3: Cross multiply
    290,322.42x = 400,651.28 × 159,501.76
  4. Step 4: Simplify right side
    290,322.42x = 63,904,581,904.24
  5. Step 5: Solve for x
    x = 63,904,581,904.24/290,322.42
  6. Step 6: Final answer
    x = 220,115.91

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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.