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Finding the Fourth Proportional to 300,312, 414,429.45 and 162,490.51

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Solution

The fourth proportional to 300,312, 414,429.45 and 162,490.51 is: 224,236.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,312 : 414,429.45 = 162,490.51 : x
  2. Step 2: Convert to fraction form
    300,312/414,429.45 = 162,490.51/x
  3. Step 3: Cross multiply
    300,312x = 414,429.45 × 162,490.51
  4. Step 4: Simplify right side
    300,312x = 67,340,851,653.45
  5. Step 5: Solve for x
    x = 67,340,851,653.45/300,312
  6. Step 6: Final answer
    x = 224,236.30

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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.