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Finding the Fourth Proportional to 520,118, 717,762.84 and 281,654

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Solution

The fourth proportional to 520,118, 717,762.84 and 281,654 is: 388,682.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,118 : 717,762.84 = 281,654 : x
  2. Step 2: Convert to fraction form
    520,118/717,762.84 = 281,654/x
  3. Step 3: Cross multiply
    520,118x = 717,762.84 × 281,654
  4. Step 4: Simplify right side
    520,118x = 202,160,774,937.36
  5. Step 5: Solve for x
    x = 202,160,774,937.36/520,118
  6. Step 6: Final answer
    x = 388,682.52

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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.