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Finding the Fourth Proportional to 470,712.47, 649,580.77 and 255,853.69

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Solution

The fourth proportional to 470,712.47, 649,580.77 and 255,853.69 is: 353,076.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,712.47 : 649,580.77 = 255,853.69 : x
  2. Step 2: Convert to fraction form
    470,712.47/649,580.77 = 255,853.69/x
  3. Step 3: Cross multiply
    470,712.47x = 649,580.77 × 255,853.69
  4. Step 4: Simplify right side
    470,712.47x = 166,197,634,214.23
  5. Step 5: Solve for x
    x = 166,197,634,214.23/470,712.47
  6. Step 6: Final answer
    x = 353,076.76

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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.