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Finding the Fourth Proportional to 302,697.15, 417,706.64 and 166,728.17

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Solution

The fourth proportional to 302,697.15, 417,706.64 and 166,728.17 is: 230,076.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,697.15 : 417,706.64 = 166,728.17 : x
  2. Step 2: Convert to fraction form
    302,697.15/417,706.64 = 166,728.17/x
  3. Step 3: Cross multiply
    302,697.15x = 417,706.64 × 166,728.17
  4. Step 4: Simplify right side
    302,697.15x = 69,643,464,519.91
  5. Step 5: Solve for x
    x = 69,643,464,519.91/302,697.15
  6. Step 6: Final answer
    x = 230,076.38

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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.