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Finding the Fourth Proportional to 310,684.25, 466,021.59 and 139,785.24

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Solution

The fourth proportional to 310,684.25, 466,021.59 and 139,785.24 is: 209,675.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,684.25 : 466,021.59 = 139,785.24 : x
  2. Step 2: Convert to fraction form
    310,684.25/466,021.59 = 139,785.24/x
  3. Step 3: Cross multiply
    310,684.25x = 466,021.59 × 139,785.24
  4. Step 4: Simplify right side
    310,684.25x = 65,142,939,803.33
  5. Step 5: Solve for x
    x = 65,142,939,803.33/310,684.25
  6. Step 6: Final answer
    x = 209,675.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.