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Finding the Fourth Proportional to 298,700.90, 448,051.35 and 284,922.80

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Solution

The fourth proportional to 298,700.90, 448,051.35 and 284,922.80 is: 427,384.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,700.90 : 448,051.35 = 284,922.80 : x
  2. Step 2: Convert to fraction form
    298,700.90/448,051.35 = 284,922.80/x
  3. Step 3: Cross multiply
    298,700.90x = 448,051.35 × 284,922.80
  4. Step 4: Simplify right side
    298,700.90x = 127,660,045,185.78
  5. Step 5: Solve for x
    x = 127,660,045,185.78/298,700.90
  6. Step 6: Final answer
    x = 427,384.20

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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.