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Finding the Fourth Proportional to 213,809.78, 320,714.89 and 98,393.13

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Solution

The fourth proportional to 213,809.78, 320,714.89 and 98,393.13 is: 147,589.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,809.78 : 320,714.89 = 98,393.13 : x
  2. Step 2: Convert to fraction form
    213,809.78/320,714.89 = 98,393.13/x
  3. Step 3: Cross multiply
    213,809.78x = 320,714.89 × 98,393.13
  4. Step 4: Simplify right side
    213,809.78x = 31,556,142,172.18
  5. Step 5: Solve for x
    x = 31,556,142,172.18/213,809.78
  6. Step 6: Final answer
    x = 147,589.80

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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.