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Finding the Fourth Proportional to 310,499.51, 465,749.26 and 100,137.45

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Solution

The fourth proportional to 310,499.51, 465,749.26 and 100,137.45 is: 150,206.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,499.51 : 465,749.26 = 100,137.45 : x
  2. Step 2: Convert to fraction form
    310,499.51/465,749.26 = 100,137.45/x
  3. Step 3: Cross multiply
    310,499.51x = 465,749.26 × 100,137.45
  4. Step 4: Simplify right side
    310,499.51x = 46,638,941,157.38
  5. Step 5: Solve for x
    x = 46,638,941,157.38/310,499.51
  6. Step 6: Final answer
    x = 150,206.17

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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.