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Finding the Fourth Proportional to 505,978.10, 758,970.41 and 202,397.61

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Solution

The fourth proportional to 505,978.10, 758,970.41 and 202,397.61 is: 303,597.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,978.10 : 758,970.41 = 202,397.61 : x
  2. Step 2: Convert to fraction form
    505,978.10/758,970.41 = 202,397.61/x
  3. Step 3: Cross multiply
    505,978.10x = 758,970.41 × 202,397.61
  4. Step 4: Simplify right side
    505,978.10x = 153,613,796,032.73
  5. Step 5: Solve for x
    x = 153,613,796,032.73/505,978.10
  6. Step 6: Final answer
    x = 303,597.72

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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.