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Finding the Fourth Proportional to 443,749, 665,623.50 and 148,261

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Solution

The fourth proportional to 443,749, 665,623.50 and 148,261 is: 222,391.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,749 : 665,623.50 = 148,261 : x
  2. Step 2: Convert to fraction form
    443,749/665,623.50 = 148,261/x
  3. Step 3: Cross multiply
    443,749x = 665,623.50 × 148,261
  4. Step 4: Simplify right side
    443,749x = 98,686,005,733.50
  5. Step 5: Solve for x
    x = 98,686,005,733.50/443,749
  6. Step 6: Final answer
    x = 222,391.50

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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.