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Finding the Fourth Proportional to 498,625.88, 748,357.25 and 258,886.94

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Solution

The fourth proportional to 498,625.88, 748,357.25 and 258,886.94 is: 388,547.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,625.88 : 748,357.25 = 258,886.94 : x
  2. Step 2: Convert to fraction form
    498,625.88/748,357.25 = 258,886.94/x
  3. Step 3: Cross multiply
    498,625.88x = 748,357.25 × 258,886.94
  4. Step 4: Simplify right side
    498,625.88x = 193,739,913,443.09
  5. Step 5: Solve for x
    x = 193,739,913,443.09/498,625.88
  6. Step 6: Final answer
    x = 388,547.65

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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.