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Finding the Fourth Proportional to 515,054.57, 710,783.93 and 285,621.53

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Solution

The fourth proportional to 515,054.57, 710,783.93 and 285,621.53 is: 394,162.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,054.57 : 710,783.93 = 285,621.53 : x
  2. Step 2: Convert to fraction form
    515,054.57/710,783.93 = 285,621.53/x
  3. Step 3: Cross multiply
    515,054.57x = 710,783.93 × 285,621.53
  4. Step 4: Simplify right side
    515,054.57x = 203,015,190,746.15
  5. Step 5: Solve for x
    x = 203,015,190,746.15/515,054.57
  6. Step 6: Final answer
    x = 394,162.49

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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.