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Finding the Fourth Proportional to 319,029.20, 478,428.60 and 161,205.20

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Solution

The fourth proportional to 319,029.20, 478,428.60 and 161,205.20 is: 241,749.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,029.20 : 478,428.60 = 161,205.20 : x
  2. Step 2: Convert to fraction form
    319,029.20/478,428.60 = 161,205.20/x
  3. Step 3: Cross multiply
    319,029.20x = 478,428.60 × 161,205.20
  4. Step 4: Simplify right side
    319,029.20x = 77,125,178,148.72
  5. Step 5: Solve for x
    x = 77,125,178,148.72/319,029.20
  6. Step 6: Final answer
    x = 241,749.59

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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.