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Finding the Fourth Proportional to 496,164.86, 684,686.84 and 281,319.46

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Solution

The fourth proportional to 496,164.86, 684,686.84 and 281,319.46 is: 388,209.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,164.86 : 684,686.84 = 281,319.46 : x
  2. Step 2: Convert to fraction form
    496,164.86/684,686.84 = 281,319.46/x
  3. Step 3: Cross multiply
    496,164.86x = 684,686.84 × 281,319.46
  4. Step 4: Simplify right side
    496,164.86x = 192,615,732,097.91
  5. Step 5: Solve for x
    x = 192,615,732,097.91/496,164.86
  6. Step 6: Final answer
    x = 388,209.14

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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.