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Finding the Fourth Proportional to 290,669.50, 436,069.86 and 103,681

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Solution

The fourth proportional to 290,669.50, 436,069.86 and 103,681 is: 155,544.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,669.50 : 436,069.86 = 103,681 : x
  2. Step 2: Convert to fraction form
    290,669.50/436,069.86 = 103,681/x
  3. Step 3: Cross multiply
    290,669.50x = 436,069.86 × 103,681
  4. Step 4: Simplify right side
    290,669.50x = 45,212,159,154.66
  5. Step 5: Solve for x
    x = 45,212,159,154.66/290,669.50
  6. Step 6: Final answer
    x = 155,544.90

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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.