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Finding the Fourth Proportional to 298,529.50, 411,964.80 and 162,565.06

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Solution

The fourth proportional to 298,529.50, 411,964.80 and 162,565.06 is: 224,336.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,529.50 : 411,964.80 = 162,565.06 : x
  2. Step 2: Convert to fraction form
    298,529.50/411,964.80 = 162,565.06/x
  3. Step 3: Cross multiply
    298,529.50x = 411,964.80 × 162,565.06
  4. Step 4: Simplify right side
    298,529.50x = 66,971,082,429.89
  5. Step 5: Solve for x
    x = 66,971,082,429.89/298,529.50
  6. Step 6: Final answer
    x = 224,336.56

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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.