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Finding the Fourth Proportional to 513,083.88, 708,029.64 and 298,189.26

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Solution

The fourth proportional to 513,083.88, 708,029.64 and 298,189.26 is: 411,486.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,083.88 : 708,029.64 = 298,189.26 : x
  2. Step 2: Convert to fraction form
    513,083.88/708,029.64 = 298,189.26/x
  3. Step 3: Cross multiply
    513,083.88x = 708,029.64 × 298,189.26
  4. Step 4: Simplify right side
    513,083.88x = 211,126,834,409.67
  5. Step 5: Solve for x
    x = 211,126,834,409.67/513,083.88
  6. Step 6: Final answer
    x = 411,486.00

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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.