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Finding the Fourth Proportional to 489,889,749.60, 734,834,624.40 and 432,494,121.60

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Solution

The fourth proportional to 489,889,749.60, 734,834,624.40 and 432,494,121.60 is: 648,741,182.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,889,749.60 : 734,834,624.40 = 432,494,121.60 : x
  2. Step 2: Convert to fraction form
    489,889,749.60/734,834,624.40 = 432,494,121.60/x
  3. Step 3: Cross multiply
    489,889,749.60x = 734,834,624.40 × 432,494,121.60
  4. Step 4: Simplify right side
    489,889,749.60x = 317,811,655,401,143,936
  5. Step 5: Solve for x
    x = 317,811,655,401,143,936/489,889,749.60
  6. Step 6: Final answer
    x = 648,741,182.40

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1.5x scale

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.