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Finding the Fourth Proportional to 290,595.69, 435,081.51 and 156,997.26

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Solution

The fourth proportional to 290,595.69, 435,081.51 and 156,997.26 is: 235,057.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,595.69 : 435,081.51 = 156,997.26 : x
  2. Step 2: Convert to fraction form
    290,595.69/435,081.51 = 156,997.26/x
  3. Step 3: Cross multiply
    290,595.69x = 435,081.51 × 156,997.26
  4. Step 4: Simplify right side
    290,595.69x = 68,306,604,946.66
  5. Step 5: Solve for x
    x = 68,306,604,946.66/290,595.69
  6. Step 6: Final answer
    x = 235,057.19

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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.