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Finding the Fourth Proportional to 470,178.40, 648,847.44 and 255,322

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Solution

The fourth proportional to 470,178.40, 648,847.44 and 255,322 is: 352,345.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,178.40 : 648,847.44 = 255,322 : x
  2. Step 2: Convert to fraction form
    470,178.40/648,847.44 = 255,322/x
  3. Step 3: Cross multiply
    470,178.40x = 648,847.44 × 255,322
  4. Step 4: Simplify right side
    470,178.40x = 165,665,026,075.68
  5. Step 5: Solve for x
    x = 165,665,026,075.68/470,178.40
  6. Step 6: Final answer
    x = 352,345.04

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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.