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Finding the Fourth Proportional to 289,381.74, 399,347.12 and 162,057.34

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Solution

The fourth proportional to 289,381.74, 399,347.12 and 162,057.34 is: 223,639.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,381.74 : 399,347.12 = 162,057.34 : x
  2. Step 2: Convert to fraction form
    289,381.74/399,347.12 = 162,057.34/x
  3. Step 3: Cross multiply
    289,381.74x = 399,347.12 × 162,057.34
  4. Step 4: Simplify right side
    289,381.74x = 64,717,131,410.64
  5. Step 5: Solve for x
    x = 64,717,131,410.64/289,381.74
  6. Step 6: Final answer
    x = 223,639.31

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1.5x scale

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.