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Finding the Fourth Proportional to 306,534.98, 422,969.55 and 172,373.06

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Solution

The fourth proportional to 306,534.98, 422,969.55 and 172,373.06 is: 237,847.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,534.98 : 422,969.55 = 172,373.06 : x
  2. Step 2: Convert to fraction form
    306,534.98/422,969.55 = 172,373.06/x
  3. Step 3: Cross multiply
    306,534.98x = 422,969.55 × 172,373.06
  4. Step 4: Simplify right side
    306,534.98x = 72,908,556,031.35
  5. Step 5: Solve for x
    x = 72,908,556,031.35/306,534.98
  6. Step 6: Final answer
    x = 237,847.42

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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.