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Finding the Fourth Proportional to 505,980.12, 759,670.02 and 256,837.08

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Solution

The fourth proportional to 505,980.12, 759,670.02 and 256,837.08 is: 385,610.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,980.12 : 759,670.02 = 256,837.08 : x
  2. Step 2: Convert to fraction form
    505,980.12/759,670.02 = 256,837.08/x
  3. Step 3: Cross multiply
    505,980.12x = 759,670.02 × 256,837.08
  4. Step 4: Simplify right side
    505,980.12x = 195,111,429,700.34
  5. Step 5: Solve for x
    x = 195,111,429,700.34/505,980.12
  6. Step 6: Final answer
    x = 385,610.86

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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.