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Finding the Fourth Proportional to 513,375.70, 708,174.06 and 298,492.02

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Solution

The fourth proportional to 513,375.70, 708,174.06 and 298,492.02 is: 411,753.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,375.70 : 708,174.06 = 298,492.02 : x
  2. Step 2: Convert to fraction form
    513,375.70/708,174.06 = 298,492.02/x
  3. Step 3: Cross multiply
    513,375.70x = 708,174.06 × 298,492.02
  4. Step 4: Simplify right side
    513,375.70x = 211,384,305,681.00
  5. Step 5: Solve for x
    x = 211,384,305,681.00/513,375.70
  6. Step 6: Final answer
    x = 411,753.63

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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.