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Finding the Fourth Proportional to 515,608.51, 711,529.06 and 286,152.48

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Solution

The fourth proportional to 515,608.51, 711,529.06 and 286,152.48 is: 394,884.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,608.51 : 711,529.06 = 286,152.48 : x
  2. Step 2: Convert to fraction form
    515,608.51/711,529.06 = 286,152.48/x
  3. Step 3: Cross multiply
    515,608.51x = 711,529.06 × 286,152.48
  4. Step 4: Simplify right side
    515,608.51x = 203,605,805,111.07
  5. Step 5: Solve for x
    x = 203,605,805,111.07/515,608.51
  6. Step 6: Final answer
    x = 394,884.49

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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.