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Finding the Fourth Proportional to 490,518.95, 677,101.13 and 286,636.14

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Solution

The fourth proportional to 490,518.95, 677,101.13 and 286,636.14 is: 395,665.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,518.95 : 677,101.13 = 286,636.14 : x
  2. Step 2: Convert to fraction form
    490,518.95/677,101.13 = 286,636.14/x
  3. Step 3: Cross multiply
    490,518.95x = 677,101.13 × 286,636.14
  4. Step 4: Simplify right side
    490,518.95x = 194,081,654,292.84
  5. Step 5: Solve for x
    x = 194,081,654,292.84/490,518.95
  6. Step 6: Final answer
    x = 395,665.97

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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.