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Finding the Fourth Proportional to 290,371.50, 435,573.65 and 103,383

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Solution

The fourth proportional to 290,371.50, 435,573.65 and 103,383 is: 155,080.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,371.50 : 435,573.65 = 103,383 : x
  2. Step 2: Convert to fraction form
    290,371.50/435,573.65 = 103,383/x
  3. Step 3: Cross multiply
    290,371.50x = 435,573.65 × 103,383
  4. Step 4: Simplify right side
    290,371.50x = 45,030,910,916.41
  5. Step 5: Solve for x
    x = 45,030,910,916.41/290,371.50
  6. Step 6: Final answer
    x = 155,080.34

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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.