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Finding the Fourth Proportional to 286,810.88, 395,823.51 and 159,511.28

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Solution

The fourth proportional to 286,810.88, 395,823.51 and 159,511.28 is: 220,139.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,810.88 : 395,823.51 = 159,511.28 : x
  2. Step 2: Convert to fraction form
    286,810.88/395,823.51 = 159,511.28/x
  3. Step 3: Cross multiply
    286,810.88x = 395,823.51 × 159,511.28
  4. Step 4: Simplify right side
    286,810.88x = 63,138,312,755.08
  5. Step 5: Solve for x
    x = 63,138,312,755.08/286,810.88
  6. Step 6: Final answer
    x = 220,139.19

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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.