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Finding the Fourth Proportional to 513,514.64, 708,669.48 and 287,159.60

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Solution

The fourth proportional to 513,514.64, 708,669.48 and 287,159.60 is: 396,291.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,514.64 : 708,669.48 = 287,159.60 : x
  2. Step 2: Convert to fraction form
    513,514.64/708,669.48 = 287,159.60/x
  3. Step 3: Cross multiply
    513,514.64x = 708,669.48 × 287,159.60
  4. Step 4: Simplify right side
    513,514.64x = 203,501,244,409.01
  5. Step 5: Solve for x
    x = 203,501,244,409.01/513,514.64
  6. Step 6: Final answer
    x = 396,291.03

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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.