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Finding the Fourth Proportional to 290,903.76, 435,655.80 and 165,865.68

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Solution

The fourth proportional to 290,903.76, 435,655.80 and 165,865.68 is: 248,399.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,903.76 : 435,655.80 = 165,865.68 : x
  2. Step 2: Convert to fraction form
    290,903.76/435,655.80 = 165,865.68/x
  3. Step 3: Cross multiply
    290,903.76x = 435,655.80 × 165,865.68
  4. Step 4: Simplify right side
    290,903.76x = 72,260,345,512.94
  5. Step 5: Solve for x
    x = 72,260,345,512.94/290,903.76
  6. Step 6: Final answer
    x = 248,399.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.