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Finding the Fourth Proportional to 290,035.08, 435,075.97 and 110,206.61

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Solution

The fourth proportional to 290,035.08, 435,075.97 and 110,206.61 is: 165,318.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,035.08 : 435,075.97 = 110,206.61 : x
  2. Step 2: Convert to fraction form
    290,035.08/435,075.97 = 110,206.61/x
  3. Step 3: Cross multiply
    290,035.08x = 435,075.97 × 110,206.61
  4. Step 4: Simplify right side
    290,035.08x = 47,948,249,123.89
  5. Step 5: Solve for x
    x = 47,948,249,123.89/290,035.08
  6. Step 6: Final answer
    x = 165,318.79

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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.