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Finding the Fourth Proportional to 213,703.74, 320,272.47 and 113,648.49

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Solution

The fourth proportional to 213,703.74, 320,272.47 and 113,648.49 is: 170,322.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,703.74 : 320,272.47 = 113,648.49 : x
  2. Step 2: Convert to fraction form
    213,703.74/320,272.47 = 113,648.49/x
  3. Step 3: Cross multiply
    213,703.74x = 320,272.47 × 113,648.49
  4. Step 4: Simplify right side
    213,703.74x = 36,398,482,604.07
  5. Step 5: Solve for x
    x = 36,398,482,604.07/213,703.74
  6. Step 6: Final answer
    x = 170,322.16

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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.