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Finding the Fourth Proportional to 480,665.85, 721,426.47 and 256,211.61

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Solution

The fourth proportional to 480,665.85, 721,426.47 and 256,211.61 is: 384,545.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,665.85 : 721,426.47 = 256,211.61 : x
  2. Step 2: Convert to fraction form
    480,665.85/721,426.47 = 256,211.61/x
  3. Step 3: Cross multiply
    480,665.85x = 721,426.47 × 256,211.61
  4. Step 4: Simplify right side
    480,665.85x = 184,837,837,375.32
  5. Step 5: Solve for x
    x = 184,837,837,375.32/480,665.85
  6. Step 6: Final answer
    x = 384,545.39

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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.