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Finding the Fourth Proportional to 306,823, 423,415.29 and 170,868.85

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Solution

The fourth proportional to 306,823, 423,415.29 and 170,868.85 is: 235,798.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,823 : 423,415.29 = 170,868.85 : x
  2. Step 2: Convert to fraction form
    306,823/423,415.29 = 170,868.85/x
  3. Step 3: Cross multiply
    306,823x = 423,415.29 × 170,868.85
  4. Step 4: Simplify right side
    306,823x = 72,348,483,674.72
  5. Step 5: Solve for x
    x = 72,348,483,674.72/306,823
  6. Step 6: Final answer
    x = 235,798.76

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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.