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Finding the Fourth Proportional to 320,438.10, 480,001.05 and 162,755.40

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Solution

The fourth proportional to 320,438.10, 480,001.05 and 162,755.40 is: 243,799.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,438.10 : 480,001.05 = 162,755.40 : x
  2. Step 2: Convert to fraction form
    320,438.10/480,001.05 = 162,755.40/x
  3. Step 3: Cross multiply
    320,438.10x = 480,001.05 × 162,755.40
  4. Step 4: Simplify right side
    320,438.10x = 78,122,762,893.17
  5. Step 5: Solve for x
    x = 78,122,762,893.17/320,438.10
  6. Step 6: Final answer
    x = 243,799.86

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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.