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Finding the Fourth Proportional to 290,627.10, 435,616.65 and 113,075.10

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Solution

The fourth proportional to 290,627.10, 435,616.65 and 113,075.10 is: 169,486.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,627.10 : 435,616.65 = 113,075.10 : x
  2. Step 2: Convert to fraction form
    290,627.10/435,616.65 = 113,075.10/x
  3. Step 3: Cross multiply
    290,627.10x = 435,616.65 × 113,075.10
  4. Step 4: Simplify right side
    290,627.10x = 49,257,396,260.42
  5. Step 5: Solve for x
    x = 49,257,396,260.42/290,627.10
  6. Step 6: Final answer
    x = 169,486.59

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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.