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Finding the Fourth Proportional to 505,507.50, 758,844.45 and 256,714.38

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Solution

The fourth proportional to 505,507.50, 758,844.45 and 256,714.38 is: 385,367.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,507.50 : 758,844.45 = 256,714.38 : x
  2. Step 2: Convert to fraction form
    505,507.50/758,844.45 = 256,714.38/x
  3. Step 3: Cross multiply
    505,507.50x = 758,844.45 × 256,714.38
  4. Step 4: Simplify right side
    505,507.50x = 194,806,282,498.19
  5. Step 5: Solve for x
    x = 194,806,282,498.19/505,507.50
  6. Step 6: Final answer
    x = 385,367.74

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1.5x scale

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.