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Finding the Fourth Proportional to 304,415.64, 420,082.74 and 168,447.24

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Solution

The fourth proportional to 304,415.64, 420,082.74 and 168,447.24 is: 232,451.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,415.64 : 420,082.74 = 168,447.24 : x
  2. Step 2: Convert to fraction form
    304,415.64/420,082.74 = 168,447.24/x
  3. Step 3: Cross multiply
    304,415.64x = 420,082.74 × 168,447.24
  4. Step 4: Simplify right side
    304,415.64x = 70,761,778,124.64
  5. Step 5: Solve for x
    x = 70,761,778,124.64/304,415.64
  6. Step 6: Final answer
    x = 232,451.19

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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.