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Finding the Fourth Proportional to 320,216.31, 480,307.14 and 162,440.67

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Solution

The fourth proportional to 320,216.31, 480,307.14 and 162,440.67 is: 243,652.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,216.31 : 480,307.14 = 162,440.67 : x
  2. Step 2: Convert to fraction form
    320,216.31/480,307.14 = 162,440.67/x
  3. Step 3: Cross multiply
    320,216.31x = 480,307.14 × 162,440.67
  4. Step 4: Simplify right side
    320,216.31x = 78,021,413,627.38
  5. Step 5: Solve for x
    x = 78,021,413,627.38/320,216.31
  6. Step 6: Final answer
    x = 243,652.22

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1.5x scale

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.