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Finding the Fourth Proportional to 380,897.31, 570,943.12 and 140,856.96

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Solution

The fourth proportional to 380,897.31, 570,943.12 and 140,856.96 is: 211,136.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,897.31 : 570,943.12 = 140,856.96 : x
  2. Step 2: Convert to fraction form
    380,897.31/570,943.12 = 140,856.96/x
  3. Step 3: Cross multiply
    380,897.31x = 570,943.12 × 140,856.96
  4. Step 4: Simplify right side
    380,897.31x = 80,421,312,216.12
  5. Step 5: Solve for x
    x = 80,421,312,216.12/380,897.31
  6. Step 6: Final answer
    x = 211,136.47

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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.