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Finding the Fourth Proportional to 213,504.30, 320,256.45 and 134,966.70

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Solution

The fourth proportional to 213,504.30, 320,256.45 and 134,966.70 is: 202,450.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,504.30 : 320,256.45 = 134,966.70 : x
  2. Step 2: Convert to fraction form
    213,504.30/320,256.45 = 134,966.70/x
  3. Step 3: Cross multiply
    213,504.30x = 320,256.45 × 134,966.70
  4. Step 4: Simplify right side
    213,504.30x = 43,223,956,210.22
  5. Step 5: Solve for x
    x = 43,223,956,210.22/213,504.30
  6. Step 6: Final answer
    x = 202,450.05

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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.