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Finding the Fourth Proportional to 290,646.52, 401,094.33 and 159,826.47

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Solution

The fourth proportional to 290,646.52, 401,094.33 and 159,826.47 is: 220,561.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,646.52 : 401,094.33 = 159,826.47 : x
  2. Step 2: Convert to fraction form
    290,646.52/401,094.33 = 159,826.47/x
  3. Step 3: Cross multiply
    290,646.52x = 401,094.33 × 159,826.47
  4. Step 4: Simplify right side
    290,646.52x = 64,105,490,900.92
  5. Step 5: Solve for x
    x = 64,105,490,900.92/290,646.52
  6. Step 6: Final answer
    x = 220,561.70

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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.