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Finding the Fourth Proportional to 470,616.78, 649,455.27 and 255,756.83

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Solution

The fourth proportional to 470,616.78, 649,455.27 and 255,756.83 is: 352,946.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,616.78 : 649,455.27 = 255,756.83 : x
  2. Step 2: Convert to fraction form
    470,616.78/649,455.27 = 255,756.83/x
  3. Step 3: Cross multiply
    470,616.78x = 649,455.27 × 255,756.83
  4. Step 4: Simplify right side
    470,616.78x = 166,102,616,875.63
  5. Step 5: Solve for x
    x = 166,102,616,875.63/470,616.78
  6. Step 6: Final answer
    x = 352,946.65

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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.