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Finding the Fourth Proportional to 290,158.26, 435,360.39 and 140,510.05

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Solution

The fourth proportional to 290,158.26, 435,360.39 and 140,510.05 is: 210,824.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,158.26 : 435,360.39 = 140,510.05 : x
  2. Step 2: Convert to fraction form
    290,158.26/435,360.39 = 140,510.05/x
  3. Step 3: Cross multiply
    290,158.26x = 435,360.39 × 140,510.05
  4. Step 4: Simplify right side
    290,158.26x = 61,172,510,166.92
  5. Step 5: Solve for x
    x = 61,172,510,166.92/290,158.26
  6. Step 6: Final answer
    x = 210,824.64

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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.