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Finding the Fourth Proportional to 302,778.07, 417,831.78 and 166,808.87

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Solution

The fourth proportional to 302,778.07, 417,831.78 and 166,808.87 is: 230,195.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,778.07 : 417,831.78 = 166,808.87 : x
  2. Step 2: Convert to fraction form
    302,778.07/417,831.78 = 166,808.87/x
  3. Step 3: Cross multiply
    302,778.07x = 417,831.78 × 166,808.87
  4. Step 4: Simplify right side
    302,778.07x = 69,698,047,175.13
  5. Step 5: Solve for x
    x = 69,698,047,175.13/302,778.07
  6. Step 6: Final answer
    x = 230,195.16

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1.5x scale

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.