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Finding the Fourth Proportional to 489,874.32, 734,126.94 and 264,749.40

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Solution

The fourth proportional to 489,874.32, 734,126.94 and 264,749.40 is: 396,754.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,874.32 : 734,126.94 = 264,749.40 : x
  2. Step 2: Convert to fraction form
    489,874.32/734,126.94 = 264,749.40/x
  3. Step 3: Cross multiply
    489,874.32x = 734,126.94 × 264,749.40
  4. Step 4: Simplify right side
    489,874.32x = 194,359,666,888.84
  5. Step 5: Solve for x
    x = 194,359,666,888.84/489,874.32
  6. Step 6: Final answer
    x = 396,754.14

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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.