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Finding the Fourth Proportional to 290,635.70, 435,547.53 and 140,836.25

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Solution

The fourth proportional to 290,635.70, 435,547.53 and 140,836.25 is: 211,057.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,635.70 : 435,547.53 = 140,836.25 : x
  2. Step 2: Convert to fraction form
    290,635.70/435,547.53 = 140,836.25/x
  3. Step 3: Cross multiply
    290,635.70x = 435,547.53 × 140,836.25
  4. Step 4: Simplify right side
    290,635.70x = 61,340,881,910.83
  5. Step 5: Solve for x
    x = 61,340,881,910.83/290,635.70
  6. Step 6: Final answer
    x = 211,057.63

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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.