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Finding the Fourth Proportional to 307,219.60, 460,829.40 and 157,410.10

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Solution

The fourth proportional to 307,219.60, 460,829.40 and 157,410.10 is: 236,115.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,219.60 : 460,829.40 = 157,410.10 : x
  2. Step 2: Convert to fraction form
    307,219.60/460,829.40 = 157,410.10/x
  3. Step 3: Cross multiply
    307,219.60x = 460,829.40 × 157,410.10
  4. Step 4: Simplify right side
    307,219.60x = 72,539,201,936.94
  5. Step 5: Solve for x
    x = 72,539,201,936.94/307,219.60
  6. Step 6: Final answer
    x = 236,115.15

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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.