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Finding the Fourth Proportional to 469,745.40, 648,416.75 and 278,758.74

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Solution

The fourth proportional to 469,745.40, 648,416.75 and 278,758.74 is: 384,786.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,745.40 : 648,416.75 = 278,758.74 : x
  2. Step 2: Convert to fraction form
    469,745.40/648,416.75 = 278,758.74/x
  3. Step 3: Cross multiply
    469,745.40x = 648,416.75 × 278,758.74
  4. Step 4: Simplify right side
    469,745.40x = 180,751,834,831.10
  5. Step 5: Solve for x
    x = 180,751,834,831.10/469,745.40
  6. Step 6: Final answer
    x = 384,786.81

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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.