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Finding the Fourth Proportional to 489,313.38, 734,075.64 and 147,728.46

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Solution

The fourth proportional to 489,313.38, 734,075.64 and 147,728.46 is: 221,624.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,313.38 : 734,075.64 = 147,728.46 : x
  2. Step 2: Convert to fraction form
    489,313.38/734,075.64 = 147,728.46/x
  3. Step 3: Cross multiply
    489,313.38x = 734,075.64 × 147,728.46
  4. Step 4: Simplify right side
    489,313.38x = 108,443,863,820.71
  5. Step 5: Solve for x
    x = 108,443,863,820.71/489,313.38
  6. Step 6: Final answer
    x = 221,624.56

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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.