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Finding the Fourth Proportional to 289,001.40, 433,502.10 and 189,274.20

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Solution

The fourth proportional to 289,001.40, 433,502.10 and 189,274.20 is: 283,911.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,001.40 : 433,502.10 = 189,274.20 : x
  2. Step 2: Convert to fraction form
    289,001.40/433,502.10 = 189,274.20/x
  3. Step 3: Cross multiply
    289,001.40x = 433,502.10 × 189,274.20
  4. Step 4: Simplify right side
    289,001.40x = 82,050,763,175.82
  5. Step 5: Solve for x
    x = 82,050,763,175.82/289,001.40
  6. Step 6: Final answer
    x = 283,911.30

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1.5x scale

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.