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Finding the Fourth Proportional to 307,941.40, 461,681.70 and 167,858.20

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Solution

The fourth proportional to 307,941.40, 461,681.70 and 167,858.20 is: 251,661.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,941.40 : 461,681.70 = 167,858.20 : x
  2. Step 2: Convert to fraction form
    307,941.40/461,681.70 = 167,858.20/x
  3. Step 3: Cross multiply
    307,941.40x = 461,681.70 × 167,858.20
  4. Step 4: Simplify right side
    307,941.40x = 77,497,059,134.94
  5. Step 5: Solve for x
    x = 77,497,059,134.94/307,941.40
  6. Step 6: Final answer
    x = 251,661.71

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1.5x scale

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.