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Finding the Fourth Proportional to 397,054.32, 548,000.28 and 289,978.80

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Solution

The fourth proportional to 397,054.32, 548,000.28 and 289,978.80 is: 400,218.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,054.32 : 548,000.28 = 289,978.80 : x
  2. Step 2: Convert to fraction form
    397,054.32/548,000.28 = 289,978.80/x
  3. Step 3: Cross multiply
    397,054.32x = 548,000.28 × 289,978.80
  4. Step 4: Simplify right side
    397,054.32x = 158,908,463,594.06
  5. Step 5: Solve for x
    x = 158,908,463,594.06/397,054.32
  6. Step 6: Final answer
    x = 400,218.45

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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.