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Finding the Fourth Proportional to 319,048.16, 478,581.54 and 119,330.45

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Solution

The fourth proportional to 319,048.16, 478,581.54 and 119,330.45 is: 178,999.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,048.16 : 478,581.54 = 119,330.45 : x
  2. Step 2: Convert to fraction form
    319,048.16/478,581.54 = 119,330.45/x
  3. Step 3: Cross multiply
    319,048.16x = 478,581.54 × 119,330.45
  4. Step 4: Simplify right side
    319,048.16x = 57,109,347,540.33
  5. Step 5: Solve for x
    x = 57,109,347,540.33/319,048.16
  6. Step 6: Final answer
    x = 178,999.14

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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.