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Finding the Fourth Proportional to 290,463.10, 435,694.65 and 103,480.70

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Solution

The fourth proportional to 290,463.10, 435,694.65 and 103,480.70 is: 155,221.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,463.10 : 435,694.65 = 103,480.70 : x
  2. Step 2: Convert to fraction form
    290,463.10/435,694.65 = 103,480.70/x
  3. Step 3: Cross multiply
    290,463.10x = 435,694.65 × 103,480.70
  4. Step 4: Simplify right side
    290,463.10x = 45,085,987,368.26
  5. Step 5: Solve for x
    x = 45,085,987,368.26/290,463.10
  6. Step 6: Final answer
    x = 155,221.05

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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.