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Finding the Fourth Proportional to 306,166.64, 422,520.80 and 168,356.06

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Solution

The fourth proportional to 306,166.64, 422,520.80 and 168,356.06 is: 232,337.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,166.64 : 422,520.80 = 168,356.06 : x
  2. Step 2: Convert to fraction form
    306,166.64/422,520.80 = 168,356.06/x
  3. Step 3: Cross multiply
    306,166.64x = 422,520.80 × 168,356.06
  4. Step 4: Simplify right side
    306,166.64x = 71,133,937,156.05
  5. Step 5: Solve for x
    x = 71,133,937,156.05/306,166.64
  6. Step 6: Final answer
    x = 232,337.32

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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.