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Finding the Fourth Proportional to 305,139.16, 420,942.45 and 264,796.30

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Solution

The fourth proportional to 305,139.16, 420,942.45 and 264,796.30 is: 365,289.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,139.16 : 420,942.45 = 264,796.30 : x
  2. Step 2: Convert to fraction form
    305,139.16/420,942.45 = 264,796.30/x
  3. Step 3: Cross multiply
    305,139.16x = 420,942.45 × 264,796.30
  4. Step 4: Simplify right side
    305,139.16x = 111,464,003,272.94
  5. Step 5: Solve for x
    x = 111,464,003,272.94/305,139.16
  6. Step 6: Final answer
    x = 365,289.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.