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Finding the Fourth Proportional to 309,228.60, 463,778.10 and 151,570.20

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Solution

The fourth proportional to 309,228.60, 463,778.10 and 151,570.20 is: 227,323.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,228.60 : 463,778.10 = 151,570.20 : x
  2. Step 2: Convert to fraction form
    309,228.60/463,778.10 = 151,570.20/x
  3. Step 3: Cross multiply
    309,228.60x = 463,778.10 × 151,570.20
  4. Step 4: Simplify right side
    309,228.60x = 70,294,939,372.62
  5. Step 5: Solve for x
    x = 70,294,939,372.62/309,228.60
  6. Step 6: Final answer
    x = 227,323.54

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1.5x scale

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.