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Finding the Fourth Proportional to 505,513, 758,852.70 and 256,719.88

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Solution

The fourth proportional to 505,513, 758,852.70 and 256,719.88 is: 385,375.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,513 : 758,852.70 = 256,719.88 : x
  2. Step 2: Convert to fraction form
    505,513/758,852.70 = 256,719.88/x
  3. Step 3: Cross multiply
    505,513x = 758,852.70 × 256,719.88
  4. Step 4: Simplify right side
    505,513x = 194,812,574,081.68
  5. Step 5: Solve for x
    x = 194,812,574,081.68/505,513
  6. Step 6: Final answer
    x = 385,375.99

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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.