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Finding the Fourth Proportional to 540,728.36, 746,140 and 298,978.28

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Solution

The fourth proportional to 540,728.36, 746,140 and 298,978.28 is: 412,554.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,728.36 : 746,140 = 298,978.28 : x
  2. Step 2: Convert to fraction form
    540,728.36/746,140 = 298,978.28/x
  3. Step 3: Cross multiply
    540,728.36x = 746,140 × 298,978.28
  4. Step 4: Simplify right side
    540,728.36x = 223,079,653,839.20
  5. Step 5: Solve for x
    x = 223,079,653,839.20/540,728.36
  6. Step 6: Final answer
    x = 412,554.01

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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.