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Finding the Fourth Proportional to 290,177.81, 432,910.39 and 274,483.25

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Solution

The fourth proportional to 290,177.81, 432,910.39 and 274,483.25 is: 409,495.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,177.81 : 432,910.39 = 274,483.25 : x
  2. Step 2: Convert to fraction form
    290,177.81/432,910.39 = 274,483.25/x
  3. Step 3: Cross multiply
    290,177.81x = 432,910.39 × 274,483.25
  4. Step 4: Simplify right side
    290,177.81x = 118,826,650,093.28
  5. Step 5: Solve for x
    x = 118,826,650,093.28/290,177.81
  6. Step 6: Final answer
    x = 409,495.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.