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Finding the Fourth Proportional to 470,686.20, 649,550.88 and 255,826.20

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Solution

The fourth proportional to 470,686.20, 649,550.88 and 255,826.20 is: 353,042.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,686.20 : 649,550.88 = 255,826.20 : x
  2. Step 2: Convert to fraction form
    470,686.20/649,550.88 = 255,826.20/x
  3. Step 3: Cross multiply
    470,686.20x = 649,550.88 × 255,826.20
  4. Step 4: Simplify right side
    470,686.20x = 166,172,133,337.06
  5. Step 5: Solve for x
    x = 166,172,133,337.06/470,686.20
  6. Step 6: Final answer
    x = 353,042.29

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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.