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Finding the Fourth Proportional to 319,157.88, 478,749 and 119,457.24

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Solution

The fourth proportional to 319,157.88, 478,749 and 119,457.24 is: 179,190.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,157.88 : 478,749 = 119,457.24 : x
  2. Step 2: Convert to fraction form
    319,157.88/478,749 = 119,457.24/x
  3. Step 3: Cross multiply
    319,157.88x = 478,749 × 119,457.24
  4. Step 4: Simplify right side
    319,157.88x = 57,190,034,192.76
  5. Step 5: Solve for x
    x = 57,190,034,192.76/319,157.88
  6. Step 6: Final answer
    x = 179,190.42

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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.