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Finding the Fourth Proportional to 470,415.12, 649,109.88 and 279,358.80

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Solution

The fourth proportional to 470,415.12, 649,109.88 and 279,358.80 is: 385,477.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,415.12 : 649,109.88 = 279,358.80 : x
  2. Step 2: Convert to fraction form
    470,415.12/649,109.88 = 279,358.80/x
  3. Step 3: Cross multiply
    470,415.12x = 649,109.88 × 279,358.80
  4. Step 4: Simplify right side
    470,415.12x = 181,334,557,144.94
  5. Step 5: Solve for x
    x = 181,334,557,144.94/470,415.12
  6. Step 6: Final answer
    x = 385,477.74

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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.