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Finding the Fourth Proportional to 305,126.16, 420,924.51 and 264,783.30

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Solution

The fourth proportional to 305,126.16, 420,924.51 and 264,783.30 is: 365,271.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,126.16 : 420,924.51 = 264,783.30 : x
  2. Step 2: Convert to fraction form
    305,126.16/420,924.51 = 264,783.30/x
  3. Step 3: Cross multiply
    305,126.16x = 420,924.51 × 264,783.30
  4. Step 4: Simplify right side
    305,126.16x = 111,453,780,808.68
  5. Step 5: Solve for x
    x = 111,453,780,808.68/305,126.16
  6. Step 6: Final answer
    x = 365,271.14

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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.