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Finding the Fourth Proportional to 307,420.10, 461,130.15 and 222,783.20

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Solution

The fourth proportional to 307,420.10, 461,130.15 and 222,783.20 is: 334,174.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,420.10 : 461,130.15 = 222,783.20 : x
  2. Step 2: Convert to fraction form
    307,420.10/461,130.15 = 222,783.20/x
  3. Step 3: Cross multiply
    307,420.10x = 461,130.15 × 222,783.20
  4. Step 4: Simplify right side
    307,420.10x = 102,732,050,433.48
  5. Step 5: Solve for x
    x = 102,732,050,433.48/307,420.10
  6. Step 6: Final answer
    x = 334,174.80

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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.