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Finding the Fourth Proportional to 210,469.50, 315,828.80 and 77,443.17

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Solution

The fourth proportional to 210,469.50, 315,828.80 and 77,443.17 is: 116,210.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,469.50 : 315,828.80 = 77,443.17 : x
  2. Step 2: Convert to fraction form
    210,469.50/315,828.80 = 77,443.17/x
  3. Step 3: Cross multiply
    210,469.50x = 315,828.80 × 77,443.17
  4. Step 4: Simplify right side
    210,469.50x = 24,458,783,449.30
  5. Step 5: Solve for x
    x = 24,458,783,449.30/210,469.50
  6. Step 6: Final answer
    x = 116,210.59

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1.5x scale

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.