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Finding the Fourth Proportional to 320,295.20, 480,039.60 and 162,567.20

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Solution

The fourth proportional to 320,295.20, 480,039.60 and 162,567.20 is: 243,646.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,295.20 : 480,039.60 = 162,567.20 : x
  2. Step 2: Convert to fraction form
    320,295.20/480,039.60 = 162,567.20/x
  3. Step 3: Cross multiply
    320,295.20x = 480,039.60 × 162,567.20
  4. Step 4: Simplify right side
    320,295.20x = 78,038,693,661.12
  5. Step 5: Solve for x
    x = 78,038,693,661.12/320,295.20
  6. Step 6: Final answer
    x = 243,646.15

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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.