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Finding the Fourth Proportional to 523,739.16, 785,953.29 and 287,247.96

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Solution

The fourth proportional to 523,739.16, 785,953.29 and 287,247.96 is: 431,060.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,739.16 : 785,953.29 = 287,247.96 : x
  2. Step 2: Convert to fraction form
    523,739.16/785,953.29 = 287,247.96/x
  3. Step 3: Cross multiply
    523,739.16x = 785,953.29 × 287,247.96
  4. Step 4: Simplify right side
    523,739.16x = 225,763,479,207.79
  5. Step 5: Solve for x
    x = 225,763,479,207.79/523,739.16
  6. Step 6: Final answer
    x = 431,060.91

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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.