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Finding the Fourth Proportional to 517,804.67, 714,524.95 and 288,344.63

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Solution

The fourth proportional to 517,804.67, 714,524.95 and 288,344.63 is: 397,890.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,804.67 : 714,524.95 = 288,344.63 : x
  2. Step 2: Convert to fraction form
    517,804.67/714,524.95 = 288,344.63/x
  3. Step 3: Cross multiply
    517,804.67x = 714,524.95 × 288,344.63
  4. Step 4: Simplify right side
    517,804.67x = 206,029,432,333.52
  5. Step 5: Solve for x
    x = 206,029,432,333.52/517,804.67
  6. Step 6: Final answer
    x = 397,890.26

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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.