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Finding the Fourth Proportional to 384,279.68, 576,421.21 and 159,639.93

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Solution

The fourth proportional to 384,279.68, 576,421.21 and 159,639.93 is: 239,460.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,279.68 : 576,421.21 = 159,639.93 : x
  2. Step 2: Convert to fraction form
    384,279.68/576,421.21 = 159,639.93/x
  3. Step 3: Cross multiply
    384,279.68x = 576,421.21 × 159,639.93
  4. Step 4: Simplify right side
    384,279.68x = 92,019,841,614.92
  5. Step 5: Solve for x
    x = 92,019,841,614.92/384,279.68
  6. Step 6: Final answer
    x = 239,460.60

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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.