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Finding the Fourth Proportional to 291,071.80, 435,732.90 and 172,682.20

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Solution

The fourth proportional to 291,071.80, 435,732.90 and 172,682.20 is: 258,504.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,071.80 : 435,732.90 = 172,682.20 : x
  2. Step 2: Convert to fraction form
    291,071.80/435,732.90 = 172,682.20/x
  3. Step 3: Cross multiply
    291,071.80x = 435,732.90 × 172,682.20
  4. Step 4: Simplify right side
    291,071.80x = 75,243,315,784.38
  5. Step 5: Solve for x
    x = 75,243,315,784.38/291,071.80
  6. Step 6: Final answer
    x = 258,504.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.