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Finding the Fourth Proportional to 313,859.76, 433,129.28 and 170,620.08

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Solution

The fourth proportional to 313,859.76, 433,129.28 and 170,620.08 is: 235,457.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,859.76 : 433,129.28 = 170,620.08 : x
  2. Step 2: Convert to fraction form
    313,859.76/433,129.28 = 170,620.08/x
  3. Step 3: Cross multiply
    313,859.76x = 433,129.28 × 170,620.08
  4. Step 4: Simplify right side
    313,859.76x = 73,900,552,403.94
  5. Step 5: Solve for x
    x = 73,900,552,403.94/313,859.76
  6. Step 6: Final answer
    x = 235,457.24

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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.