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Finding the Fourth Proportional to 517,354.88, 713,935.08 and 287,908.52

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Solution

The fourth proportional to 517,354.88, 713,935.08 and 287,908.52 is: 397,305.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,354.88 : 713,935.08 = 287,908.52 : x
  2. Step 2: Convert to fraction form
    517,354.88/713,935.08 = 287,908.52/x
  3. Step 3: Cross multiply
    517,354.88x = 713,935.08 × 287,908.52
  4. Step 4: Simplify right side
    517,354.88x = 205,547,988,689.21
  5. Step 5: Solve for x
    x = 205,547,988,689.21/517,354.88
  6. Step 6: Final answer
    x = 397,305.60

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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.