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Finding the Fourth Proportional to 319,083.42, 478,708.16 and 119,419.50

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Solution

The fourth proportional to 319,083.42, 478,708.16 and 119,419.50 is: 179,160.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,083.42 : 478,708.16 = 119,419.50 : x
  2. Step 2: Convert to fraction form
    319,083.42/478,708.16 = 119,419.50/x
  3. Step 3: Cross multiply
    319,083.42x = 478,708.16 × 119,419.50
  4. Step 4: Simplify right side
    319,083.42x = 57,167,088,516.02
  5. Step 5: Solve for x
    x = 57,167,088,516.02/319,083.42
  6. Step 6: Final answer
    x = 179,160.32

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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.