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Finding the Fourth Proportional to 523,734.66, 785,946.54 and 287,243.46

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Solution

The fourth proportional to 523,734.66, 785,946.54 and 287,243.46 is: 431,054.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,734.66 : 785,946.54 = 287,243.46 : x
  2. Step 2: Convert to fraction form
    523,734.66/785,946.54 = 287,243.46/x
  3. Step 3: Cross multiply
    523,734.66x = 785,946.54 × 287,243.46
  4. Step 4: Simplify right side
    523,734.66x = 225,758,003,524.63
  5. Step 5: Solve for x
    x = 225,758,003,524.63/523,734.66
  6. Step 6: Final answer
    x = 431,054.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.