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Finding the Fourth Proportional to 210,221.80, 314,718.30 and 204,077.80

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Solution

The fourth proportional to 210,221.80, 314,718.30 and 204,077.80 is: 305,520.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,221.80 : 314,718.30 = 204,077.80 : x
  2. Step 2: Convert to fraction form
    210,221.80/314,718.30 = 204,077.80/x
  3. Step 3: Cross multiply
    210,221.80x = 314,718.30 × 204,077.80
  4. Step 4: Simplify right side
    210,221.80x = 64,227,018,283.74
  5. Step 5: Solve for x
    x = 64,227,018,283.74/210,221.80
  6. Step 6: Final answer
    x = 305,520.26

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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.