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Finding the Fourth Proportional to 490,805.76, 677,331.36 and 286,988.16

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Solution

The fourth proportional to 490,805.76, 677,331.36 and 286,988.16 is: 396,055.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,805.76 : 677,331.36 = 286,988.16 : x
  2. Step 2: Convert to fraction form
    490,805.76/677,331.36 = 286,988.16/x
  3. Step 3: Cross multiply
    490,805.76x = 677,331.36 × 286,988.16
  4. Step 4: Simplify right side
    490,805.76x = 194,386,080,716.70
  5. Step 5: Solve for x
    x = 194,386,080,716.70/490,805.76
  6. Step 6: Final answer
    x = 396,055.01

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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.