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Finding the Fourth Proportional to 505,686.12, 758,534.04 and 206,106

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Solution

The fourth proportional to 505,686.12, 758,534.04 and 206,106 is: 309,160.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,686.12 : 758,534.04 = 206,106 : x
  2. Step 2: Convert to fraction form
    505,686.12/758,534.04 = 206,106/x
  3. Step 3: Cross multiply
    505,686.12x = 758,534.04 × 206,106
  4. Step 4: Simplify right side
    505,686.12x = 156,338,416,848.24
  5. Step 5: Solve for x
    x = 156,338,416,848.24/505,686.12
  6. Step 6: Final answer
    x = 309,160.98

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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.