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Finding the Fourth Proportional to 511,218.48, 705,484.31 and 296,485.86

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Solution

The fourth proportional to 511,218.48, 705,484.31 and 296,485.86 is: 409,152.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,218.48 : 705,484.31 = 296,485.86 : x
  2. Step 2: Convert to fraction form
    511,218.48/705,484.31 = 296,485.86/x
  3. Step 3: Cross multiply
    511,218.48x = 705,484.31 × 296,485.86
  4. Step 4: Simplify right side
    511,218.48x = 209,166,120,884.43
  5. Step 5: Solve for x
    x = 209,166,120,884.43/511,218.48
  6. Step 6: Final answer
    x = 409,152.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.