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Finding the Fourth Proportional to 490,609.34, 677,018.65 and 286,678.88

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Solution

The fourth proportional to 490,609.34, 677,018.65 and 286,678.88 is: 395,603.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,609.34 : 677,018.65 = 286,678.88 : x
  2. Step 2: Convert to fraction form
    490,609.34/677,018.65 = 286,678.88/x
  3. Step 3: Cross multiply
    490,609.34x = 677,018.65 × 286,678.88
  4. Step 4: Simplify right side
    490,609.34x = 194,086,948,321.11
  5. Step 5: Solve for x
    x = 194,086,948,321.11/490,609.34
  6. Step 6: Final answer
    x = 395,603.86

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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.