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Finding the Fourth Proportional to 306,632.80, 423,152.64 and 172,496.80

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Solution

The fourth proportional to 306,632.80, 423,152.64 and 172,496.80 is: 238,045.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,632.80 : 423,152.64 = 172,496.80 : x
  2. Step 2: Convert to fraction form
    306,632.80/423,152.64 = 172,496.80/x
  3. Step 3: Cross multiply
    306,632.80x = 423,152.64 × 172,496.80
  4. Step 4: Simplify right side
    306,632.80x = 72,992,476,311.55
  5. Step 5: Solve for x
    x = 72,992,476,311.55/306,632.80
  6. Step 6: Final answer
    x = 238,045.23

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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.