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Finding the Fourth Proportional to 515,106.86, 710,870.44 and 285,648.78

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Solution

The fourth proportional to 515,106.86, 710,870.44 and 285,648.78 is: 394,208.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,106.86 : 710,870.44 = 285,648.78 : x
  2. Step 2: Convert to fraction form
    515,106.86/710,870.44 = 285,648.78/x
  3. Step 3: Cross multiply
    515,106.86x = 710,870.44 × 285,648.78
  4. Step 4: Simplify right side
    515,106.86x = 203,059,273,924.06
  5. Step 5: Solve for x
    x = 203,059,273,924.06/515,106.86
  6. Step 6: Final answer
    x = 394,208.06

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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.