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Finding the Fourth Proportional to 517,047.86, 713,569.12 and 287,648.36

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Solution

The fourth proportional to 517,047.86, 713,569.12 and 287,648.36 is: 396,978.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,047.86 : 713,569.12 = 287,648.36 : x
  2. Step 2: Convert to fraction form
    517,047.86/713,569.12 = 287,648.36/x
  3. Step 3: Cross multiply
    517,047.86x = 713,569.12 × 287,648.36
  4. Step 4: Simplify right side
    517,047.86x = 205,256,987,114.64
  5. Step 5: Solve for x
    x = 205,256,987,114.64/517,047.86
  6. Step 6: Final answer
    x = 396,978.70

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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.