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Finding the Fourth Proportional to 383,114.03, 574,703.98 and 98,802

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Solution

The fourth proportional to 383,114.03, 574,703.98 and 98,802 is: 148,211.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,114.03 : 574,703.98 = 98,802 : x
  2. Step 2: Convert to fraction form
    383,114.03/574,703.98 = 98,802/x
  3. Step 3: Cross multiply
    383,114.03x = 574,703.98 × 98,802
  4. Step 4: Simplify right side
    383,114.03x = 56,781,902,384.96
  5. Step 5: Solve for x
    x = 56,781,902,384.96/383,114.03
  6. Step 6: Final answer
    x = 148,211.49

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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.