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Finding the Fourth Proportional to 290,774.65, 436,160.54 and 77,542.09

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Solution

The fourth proportional to 290,774.65, 436,160.54 and 77,542.09 is: 116,312.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,774.65 : 436,160.54 = 77,542.09 : x
  2. Step 2: Convert to fraction form
    290,774.65/436,160.54 = 77,542.09/x
  3. Step 3: Cross multiply
    290,774.65x = 436,160.54 × 77,542.09
  4. Step 4: Simplify right side
    290,774.65x = 33,820,799,459.42
  5. Step 5: Solve for x
    x = 33,820,799,459.42/290,774.65
  6. Step 6: Final answer
    x = 116,312.75

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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.