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Finding the Fourth Proportional to 309,047.47, 463,729.43 and 147,124.78

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Solution

The fourth proportional to 309,047.47, 463,729.43 and 147,124.78 is: 220,762.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,047.47 : 463,729.43 = 147,124.78 : x
  2. Step 2: Convert to fraction form
    309,047.47/463,729.43 = 147,124.78/x
  3. Step 3: Cross multiply
    309,047.47x = 463,729.43 × 147,124.78
  4. Step 4: Simplify right side
    309,047.47x = 68,226,089,576.76
  5. Step 5: Solve for x
    x = 68,226,089,576.76/309,047.47
  6. Step 6: Final answer
    x = 220,762.49

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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.