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Finding the Fourth Proportional to 583,298, 875,102.52 and 287,810

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Solution

The fourth proportional to 583,298, 875,102.52 and 287,810 is: 431,791.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,298 : 875,102.52 = 287,810 : x
  2. Step 2: Convert to fraction form
    583,298/875,102.52 = 287,810/x
  3. Step 3: Cross multiply
    583,298x = 875,102.52 × 287,810
  4. Step 4: Simplify right side
    583,298x = 251,863,256,281.20
  5. Step 5: Solve for x
    x = 251,863,256,281.20/583,298
  6. Step 6: Final answer
    x = 431,791.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.