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Finding the Fourth Proportional to 704,140.90, 971,705.84 and 381,847.10

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Solution

The fourth proportional to 704,140.90, 971,705.84 and 381,847.10 is: 526,944.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,140.90 : 971,705.84 = 381,847.10 : x
  2. Step 2: Convert to fraction form
    704,140.90/971,705.84 = 381,847.10/x
  3. Step 3: Cross multiply
    704,140.90x = 971,705.84 × 381,847.10
  4. Step 4: Simplify right side
    704,140.90x = 371,043,050,289.30
  5. Step 5: Solve for x
    x = 371,043,050,289.30/704,140.90
  6. Step 6: Final answer
    x = 526,944.33

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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.