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Finding the Fourth Proportional to 515,168.22, 710,864.43 and 285,722.76

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Solution

The fourth proportional to 515,168.22, 710,864.43 and 285,722.76 is: 394,259.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,168.22 : 710,864.43 = 285,722.76 : x
  2. Step 2: Convert to fraction form
    515,168.22/710,864.43 = 285,722.76/x
  3. Step 3: Cross multiply
    515,168.22x = 710,864.43 × 285,722.76
  4. Step 4: Simplify right side
    515,168.22x = 203,110,146,925.43
  5. Step 5: Solve for x
    x = 203,110,146,925.43/515,168.22
  6. Step 6: Final answer
    x = 394,259.85

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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.