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Finding the Fourth Proportional to 513,967.90, 708,596.17 and 421,749.40

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Solution

The fourth proportional to 513,967.90, 708,596.17 and 421,749.40 is: 581,456.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,967.90 : 708,596.17 = 421,749.40 : x
  2. Step 2: Convert to fraction form
    513,967.90/708,596.17 = 421,749.40/x
  3. Step 3: Cross multiply
    513,967.90x = 708,596.17 × 421,749.40
  4. Step 4: Simplify right side
    513,967.90x = 298,850,009,539.80
  5. Step 5: Solve for x
    x = 298,850,009,539.80/513,967.90
  6. Step 6: Final answer
    x = 581,456.56

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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.