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Finding the Fourth Proportional to 470,184.70, 649,020.44 and 279,196.74

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Solution

The fourth proportional to 470,184.70, 649,020.44 and 279,196.74 is: 385,389.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,184.70 : 649,020.44 = 279,196.74 : x
  2. Step 2: Convert to fraction form
    470,184.70/649,020.44 = 279,196.74/x
  3. Step 3: Cross multiply
    470,184.70x = 649,020.44 × 279,196.74
  4. Step 4: Simplify right side
    470,184.70x = 181,204,391,041.37
  5. Step 5: Solve for x
    x = 181,204,391,041.37/470,184.70
  6. Step 6: Final answer
    x = 385,389.81

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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.