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Finding the Fourth Proportional to 713,645.73, 1,070,511.84 and 287,179.90

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Solution

The fourth proportional to 713,645.73, 1,070,511.84 and 287,179.90 is: 430,787.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,645.73 : 1,070,511.84 = 287,179.90 : x
  2. Step 2: Convert to fraction form
    713,645.73/1,070,511.84 = 287,179.90/x
  3. Step 3: Cross multiply
    713,645.73x = 1,070,511.84 × 287,179.90
  4. Step 4: Simplify right side
    713,645.73x = 307,429,480,483.74
  5. Step 5: Solve for x
    x = 307,429,480,483.74/713,645.73
  6. Step 6: Final answer
    x = 430,787.25

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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.