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Finding the Fourth Proportional to 470,148, 649,081.12 and 286,455.88

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Solution

The fourth proportional to 470,148, 649,081.12 and 286,455.88 is: 395,477.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,148 : 649,081.12 = 286,455.88 : x
  2. Step 2: Convert to fraction form
    470,148/649,081.12 = 286,455.88/x
  3. Step 3: Cross multiply
    470,148x = 649,081.12 × 286,455.88
  4. Step 4: Simplify right side
    470,148x = 185,933,103,420.99
  5. Step 5: Solve for x
    x = 185,933,103,420.99/470,148
  6. Step 6: Final answer
    x = 395,477.81

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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.