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Finding the Fourth Proportional to 470,518.45, 649,319.42 and 255,658.52

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Solution

The fourth proportional to 470,518.45, 649,319.42 and 255,658.52 is: 352,810.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,518.45 : 649,319.42 = 255,658.52 : x
  2. Step 2: Convert to fraction form
    470,518.45/649,319.42 = 255,658.52/x
  3. Step 3: Cross multiply
    470,518.45x = 649,319.42 × 255,658.52
  4. Step 4: Simplify right side
    470,518.45x = 166,004,041,924.46
  5. Step 5: Solve for x
    x = 166,004,041,924.46/470,518.45
  6. Step 6: Final answer
    x = 352,810.91

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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.