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Finding the Fourth Proportional to 320,431.80, 480,647.70 and 178,714.20

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Solution

The fourth proportional to 320,431.80, 480,647.70 and 178,714.20 is: 268,071.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,431.80 : 480,647.70 = 178,714.20 : x
  2. Step 2: Convert to fraction form
    320,431.80/480,647.70 = 178,714.20/x
  3. Step 3: Cross multiply
    320,431.80x = 480,647.70 × 178,714.20
  4. Step 4: Simplify right side
    320,431.80x = 85,898,569,187.34
  5. Step 5: Solve for x
    x = 85,898,569,187.34/320,431.80
  6. Step 6: Final answer
    x = 268,071.30

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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.