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Finding the Fourth Proportional to 470,023.64, 648,640.46 and 255,163.70

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Solution

The fourth proportional to 470,023.64, 648,640.46 and 255,163.70 is: 352,130.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,023.64 : 648,640.46 = 255,163.70 : x
  2. Step 2: Convert to fraction form
    470,023.64/648,640.46 = 255,163.70/x
  3. Step 3: Cross multiply
    470,023.64x = 648,640.46 × 255,163.70
  4. Step 4: Simplify right side
    470,023.64x = 165,509,500,089.09
  5. Step 5: Solve for x
    x = 165,509,500,089.09/470,023.64
  6. Step 6: Final answer
    x = 352,130.16

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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.