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Finding the Fourth Proportional to 515,108.86, 710,873.20 and 285,650.78

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Solution

The fourth proportional to 515,108.86, 710,873.20 and 285,650.78 is: 394,210.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,108.86 : 710,873.20 = 285,650.78 : x
  2. Step 2: Convert to fraction form
    515,108.86/710,873.20 = 285,650.78/x
  3. Step 3: Cross multiply
    515,108.86x = 710,873.20 × 285,650.78
  4. Step 4: Simplify right side
    515,108.86x = 203,061,484,061.10
  5. Step 5: Solve for x
    x = 203,061,484,061.10/515,108.86
  6. Step 6: Final answer
    x = 394,210.82

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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.