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Finding the Fourth Proportional to 517,205.04, 713,751.66 and 287,780.64

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Solution

The fourth proportional to 517,205.04, 713,751.66 and 287,780.64 is: 397,142.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,205.04 : 713,751.66 = 287,780.64 : x
  2. Step 2: Convert to fraction form
    517,205.04/713,751.66 = 287,780.64/x
  3. Step 3: Cross multiply
    517,205.04x = 713,751.66 × 287,780.64
  4. Step 4: Simplify right side
    517,205.04x = 205,403,909,515.86
  5. Step 5: Solve for x
    x = 205,403,909,515.86/517,205.04
  6. Step 6: Final answer
    x = 397,142.13

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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.