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Finding the Fourth Proportional to 470,758.60, 649,701.30 and 279,770.32

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Solution

The fourth proportional to 470,758.60, 649,701.30 and 279,770.32 is: 386,115.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,758.60 : 649,701.30 = 279,770.32 : x
  2. Step 2: Convert to fraction form
    470,758.60/649,701.30 = 279,770.32/x
  3. Step 3: Cross multiply
    470,758.60x = 649,701.30 × 279,770.32
  4. Step 4: Simplify right side
    470,758.60x = 181,767,140,605.42
  5. Step 5: Solve for x
    x = 181,767,140,605.42/470,758.60
  6. Step 6: Final answer
    x = 386,115.39

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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.