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Finding the Fourth Proportional to 515,712.24, 711,671.64 and 286,256.04

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Solution

The fourth proportional to 515,712.24, 711,671.64 and 286,256.04 is: 395,027.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,712.24 : 711,671.64 = 286,256.04 : x
  2. Step 2: Convert to fraction form
    515,712.24/711,671.64 = 286,256.04/x
  3. Step 3: Cross multiply
    515,712.24x = 711,671.64 × 286,256.04
  4. Step 4: Simplify right side
    515,712.24x = 203,720,305,446.71
  5. Step 5: Solve for x
    x = 203,720,305,446.71/515,712.24
  6. Step 6: Final answer
    x = 395,027.09

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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.