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Finding the Fourth Proportional to 514,998.88, 770,397.18 and 415,271.68

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Solution

The fourth proportional to 514,998.88, 770,397.18 and 415,271.68 is: 621,213.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,998.88 : 770,397.18 = 415,271.68 : x
  2. Step 2: Convert to fraction form
    514,998.88/770,397.18 = 415,271.68/x
  3. Step 3: Cross multiply
    514,998.88x = 770,397.18 × 415,271.68
  4. Step 4: Simplify right side
    514,998.88x = 319,924,131,205.86
  5. Step 5: Solve for x
    x = 319,924,131,205.86/514,998.88
  6. Step 6: Final answer
    x = 621,213.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.