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Finding the Fourth Proportional to 520,083, 717,714.54 and 281,619

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Solution

The fourth proportional to 520,083, 717,714.54 and 281,619 is: 388,634.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,083 : 717,714.54 = 281,619 : x
  2. Step 2: Convert to fraction form
    520,083/717,714.54 = 281,619/x
  3. Step 3: Cross multiply
    520,083x = 717,714.54 × 281,619
  4. Step 4: Simplify right side
    520,083x = 202,122,051,040.26
  5. Step 5: Solve for x
    x = 202,122,051,040.26/520,083
  6. Step 6: Final answer
    x = 388,634.22

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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.