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Finding the Fourth Proportional to 319,196.40, 478,806.72 and 119,495.76

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Solution

The fourth proportional to 319,196.40, 478,806.72 and 119,495.76 is: 179,248.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,196.40 : 478,806.72 = 119,495.76 : x
  2. Step 2: Convert to fraction form
    319,196.40/478,806.72 = 119,495.76/x
  3. Step 3: Cross multiply
    319,196.40x = 478,806.72 × 119,495.76
  4. Step 4: Simplify right side
    319,196.40x = 57,215,372,899.51
  5. Step 5: Solve for x
    x = 57,215,372,899.51/319,196.40
  6. Step 6: Final answer
    x = 179,248.18

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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.