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Finding the Fourth Proportional to 319,541.20, 478,728.60 and 194,736.40

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Solution

The fourth proportional to 319,541.20, 478,728.60 and 194,736.40 is: 291,749.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,541.20 : 478,728.60 = 194,736.40 : x
  2. Step 2: Convert to fraction form
    319,541.20/478,728.60 = 194,736.40/x
  3. Step 3: Cross multiply
    319,541.20x = 478,728.60 × 194,736.40
  4. Step 4: Simplify right side
    319,541.20x = 93,225,884,141.04
  5. Step 5: Solve for x
    x = 93,225,884,141.04/319,541.20
  6. Step 6: Final answer
    x = 291,749.18

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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.