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Finding the Fourth Proportional to 470,284.43, 648,992.02 and 255,424.67

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Solution

The fourth proportional to 470,284.43, 648,992.02 and 255,424.67 is: 352,485.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,284.43 : 648,992.02 = 255,424.67 : x
  2. Step 2: Convert to fraction form
    470,284.43/648,992.02 = 255,424.67/x
  3. Step 3: Cross multiply
    470,284.43x = 648,992.02 × 255,424.67
  4. Step 4: Simplify right side
    470,284.43x = 165,768,570,463.35
  5. Step 5: Solve for x
    x = 165,768,570,463.35/470,284.43
  6. Step 6: Final answer
    x = 352,485.77

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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.