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Finding the Fourth Proportional to 218,420.52, 301,513.29 and 146,842.03

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Solution

The fourth proportional to 218,420.52, 301,513.29 and 146,842.03 is: 202,704.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,420.52 : 301,513.29 = 146,842.03 : x
  2. Step 2: Convert to fraction form
    218,420.52/301,513.29 = 146,842.03/x
  3. Step 3: Cross multiply
    218,420.52x = 301,513.29 × 146,842.03
  4. Step 4: Simplify right side
    218,420.52x = 44,274,823,401.81
  5. Step 5: Solve for x
    x = 44,274,823,401.81/218,420.52
  6. Step 6: Final answer
    x = 202,704.51

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1.5x scale

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.