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Finding the Fourth Proportional to 310,735.36, 466,122.48 and 123,742

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Solution

The fourth proportional to 310,735.36, 466,122.48 and 123,742 is: 185,620.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,735.36 : 466,122.48 = 123,742 : x
  2. Step 2: Convert to fraction form
    310,735.36/466,122.48 = 123,742/x
  3. Step 3: Cross multiply
    310,735.36x = 466,122.48 × 123,742
  4. Step 4: Simplify right side
    310,735.36x = 57,678,927,920.16
  5. Step 5: Solve for x
    x = 57,678,927,920.16/310,735.36
  6. Step 6: Final answer
    x = 185,620.74

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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.