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Finding the Fourth Proportional to 210,894.12, 290,731.12 and 150,359.67

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Solution

The fourth proportional to 210,894.12, 290,731.12 and 150,359.67 is: 207,280.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,894.12 : 290,731.12 = 150,359.67 : x
  2. Step 2: Convert to fraction form
    210,894.12/290,731.12 = 150,359.67/x
  3. Step 3: Cross multiply
    210,894.12x = 290,731.12 × 150,359.67
  4. Step 4: Simplify right side
    210,894.12x = 43,714,234,914.12
  5. Step 5: Solve for x
    x = 43,714,234,914.12/210,894.12
  6. Step 6: Final answer
    x = 207,280.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.