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Finding the Fourth Proportional to 305,678.80, 457,643.40 and 270,686.80

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Solution

The fourth proportional to 305,678.80, 457,643.40 and 270,686.80 is: 405,255.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,678.80 : 457,643.40 = 270,686.80 : x
  2. Step 2: Convert to fraction form
    305,678.80/457,643.40 = 270,686.80/x
  3. Step 3: Cross multiply
    305,678.80x = 457,643.40 × 270,686.80
  4. Step 4: Simplify right side
    305,678.80x = 123,878,027,487.12
  5. Step 5: Solve for x
    x = 123,878,027,487.12/305,678.80
  6. Step 6: Final answer
    x = 405,255.54

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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.