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Finding the Fourth Proportional to 517,079.88, 713,483.28 and 287,607.24

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Solution

The fourth proportional to 517,079.88, 713,483.28 and 287,607.24 is: 396,849.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,079.88 : 713,483.28 = 287,607.24 : x
  2. Step 2: Convert to fraction form
    517,079.88/713,483.28 = 287,607.24/x
  3. Step 3: Cross multiply
    517,079.88x = 713,483.28 × 287,607.24
  4. Step 4: Simplify right side
    517,079.88x = 205,202,956,946.95
  5. Step 5: Solve for x
    x = 205,202,956,946.95/517,079.88
  6. Step 6: Final answer
    x = 396,849.63

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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.