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Finding the Fourth Proportional to 213,886.80, 320,830.20 and 147,531.60

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Solution

The fourth proportional to 213,886.80, 320,830.20 and 147,531.60 is: 221,297.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,886.80 : 320,830.20 = 147,531.60 : x
  2. Step 2: Convert to fraction form
    213,886.80/320,830.20 = 147,531.60/x
  3. Step 3: Cross multiply
    213,886.80x = 320,830.20 × 147,531.60
  4. Step 4: Simplify right side
    213,886.80x = 47,332,592,734.32
  5. Step 5: Solve for x
    x = 47,332,592,734.32/213,886.80
  6. Step 6: Final answer
    x = 221,297.40

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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.