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Finding the Fourth Proportional to 306,329.95, 422,710.83 and 170,364.16

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Solution

The fourth proportional to 306,329.95, 422,710.83 and 170,364.16 is: 235,088.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,329.95 : 422,710.83 = 170,364.16 : x
  2. Step 2: Convert to fraction form
    306,329.95/422,710.83 = 170,364.16/x
  3. Step 3: Cross multiply
    306,329.95x = 422,710.83 × 170,364.16
  4. Step 4: Simplify right side
    306,329.95x = 72,014,775,475.85
  5. Step 5: Solve for x
    x = 72,014,775,475.85/306,329.95
  6. Step 6: Final answer
    x = 235,088.91

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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.