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Finding the Fourth Proportional to 290,112.84, 400,354.65 and 162,788.13

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Solution

The fourth proportional to 290,112.84, 400,354.65 and 162,788.13 is: 224,647.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,112.84 : 400,354.65 = 162,788.13 : x
  2. Step 2: Convert to fraction form
    290,112.84/400,354.65 = 162,788.13/x
  3. Step 3: Cross multiply
    290,112.84x = 400,354.65 × 162,788.13
  4. Step 4: Simplify right side
    290,112.84x = 65,172,984,810.30
  5. Step 5: Solve for x
    x = 65,172,984,810.30/290,112.84
  6. Step 6: Final answer
    x = 224,647.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.