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Finding the Fourth Proportional to 470,768.12, 649,714.44 and 279,779.84

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Solution

The fourth proportional to 470,768.12, 649,714.44 and 279,779.84 is: 386,128.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,768.12 : 649,714.44 = 279,779.84 : x
  2. Step 2: Convert to fraction form
    470,768.12/649,714.44 = 279,779.84/x
  3. Step 3: Cross multiply
    470,768.12x = 649,714.44 × 279,779.84
  4. Step 4: Simplify right side
    470,768.12x = 181,777,002,068.89
  5. Step 5: Solve for x
    x = 181,777,002,068.89/470,768.12
  6. Step 6: Final answer
    x = 386,128.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.