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Finding the Fourth Proportional to 273,415.04, 410,705.44 and 257,435.20

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Solution

The fourth proportional to 273,415.04, 410,705.44 and 257,435.20 is: 386,701.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,415.04 : 410,705.44 = 257,435.20 : x
  2. Step 2: Convert to fraction form
    273,415.04/410,705.44 = 257,435.20/x
  3. Step 3: Cross multiply
    273,415.04x = 410,705.44 × 257,435.20
  4. Step 4: Simplify right side
    273,415.04x = 105,730,037,087.49
  5. Step 5: Solve for x
    x = 105,730,037,087.49/273,415.04
  6. Step 6: Final answer
    x = 386,701.61

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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.