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Finding the Fourth Proportional to 513,369.70, 708,165.79 and 298,486.01

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Solution

The fourth proportional to 513,369.70, 708,165.79 and 298,486.01 is: 411,745.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,369.70 : 708,165.79 = 298,486.01 : x
  2. Step 2: Convert to fraction form
    513,369.70/708,165.79 = 298,486.01/x
  3. Step 3: Cross multiply
    513,369.70x = 708,165.79 × 298,486.01
  4. Step 4: Simplify right side
    513,369.70x = 211,377,582,099.80
  5. Step 5: Solve for x
    x = 211,377,582,099.80/513,369.70
  6. Step 6: Final answer
    x = 411,745.34

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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.