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Finding the Fourth Proportional to 290,584.98, 435,877.47 and 103,465.26

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Solution

The fourth proportional to 290,584.98, 435,877.47 and 103,465.26 is: 155,197.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,584.98 : 435,877.47 = 103,465.26 : x
  2. Step 2: Convert to fraction form
    290,584.98/435,877.47 = 103,465.26/x
  3. Step 3: Cross multiply
    290,584.98x = 435,877.47 × 103,465.26
  4. Step 4: Simplify right side
    290,584.98x = 45,098,175,761.69
  5. Step 5: Solve for x
    x = 45,098,175,761.69/290,584.98
  6. Step 6: Final answer
    x = 155,197.89

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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.