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Finding the Fourth Proportional to 319,088.68, 478,716.04 and 119,424.76

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Solution

The fourth proportional to 319,088.68, 478,716.04 and 119,424.76 is: 179,168.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,088.68 : 478,716.04 = 119,424.76 : x
  2. Step 2: Convert to fraction form
    319,088.68/478,716.04 = 119,424.76/x
  3. Step 3: Cross multiply
    319,088.68x = 478,716.04 × 119,424.76
  4. Step 4: Simplify right side
    319,088.68x = 57,170,548,185.15
  5. Step 5: Solve for x
    x = 57,170,548,185.15/319,088.68
  6. Step 6: Final answer
    x = 179,168.21

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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.