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Finding the Fourth Proportional to 1,380,903, 2,071,380.42 and 383,656.92

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Solution

The fourth proportional to 1,380,903, 2,071,380.42 and 383,656.92 is: 575,492.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380,903 : 2,071,380.42 = 383,656.92 : x
  2. Step 2: Convert to fraction form
    1,380,903/2,071,380.42 = 383,656.92/x
  3. Step 3: Cross multiply
    1,380,903x = 2,071,380.42 × 383,656.92
  4. Step 4: Simplify right side
    1,380,903x = 794,699,432,085.51
  5. Step 5: Solve for x
    x = 794,699,432,085.51/1,380,903
  6. Step 6: Final answer
    x = 575,492.58

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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.