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Finding the Fourth Proportional to 290,105.40, 435,158.10 and 183,817.20

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Solution

The fourth proportional to 290,105.40, 435,158.10 and 183,817.20 is: 275,725.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,105.40 : 435,158.10 = 183,817.20 : x
  2. Step 2: Convert to fraction form
    290,105.40/435,158.10 = 183,817.20/x
  3. Step 3: Cross multiply
    290,105.40x = 435,158.10 × 183,817.20
  4. Step 4: Simplify right side
    290,105.40x = 79,989,543,499.32
  5. Step 5: Solve for x
    x = 79,989,543,499.32/290,105.40
  6. Step 6: Final answer
    x = 275,725.80

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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.