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Finding the Fourth Proportional to 470,509.08, 649,358.28 and 279,524.04

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Solution

The fourth proportional to 470,509.08, 649,358.28 and 279,524.04 is: 385,776.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,509.08 : 649,358.28 = 279,524.04 : x
  2. Step 2: Convert to fraction form
    470,509.08/649,358.28 = 279,524.04/x
  3. Step 3: Cross multiply
    470,509.08x = 649,358.28 × 279,524.04
  4. Step 4: Simplify right side
    470,509.08x = 181,511,249,833.05
  5. Step 5: Solve for x
    x = 181,511,249,833.05/470,509.08
  6. Step 6: Final answer
    x = 385,776.30

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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.