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Finding the Fourth Proportional to 480,652.48, 721,412.07 and 256,199.86

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Solution

The fourth proportional to 480,652.48, 721,412.07 and 256,199.86 is: 384,530.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,652.48 : 721,412.07 = 256,199.86 : x
  2. Step 2: Convert to fraction form
    480,652.48/721,412.07 = 256,199.86/x
  3. Step 3: Cross multiply
    480,652.48x = 721,412.07 × 256,199.86
  4. Step 4: Simplify right side
    480,652.48x = 184,825,671,336.31
  5. Step 5: Solve for x
    x = 184,825,671,336.31/480,652.48
  6. Step 6: Final answer
    x = 384,530.78

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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.