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Finding the Fourth Proportional to 524,705.45, 787,223.57 and 398,947.46

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Solution

The fourth proportional to 524,705.45, 787,223.57 and 398,947.46 is: 598,546.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,705.45 : 787,223.57 = 398,947.46 : x
  2. Step 2: Convert to fraction form
    524,705.45/787,223.57 = 398,947.46/x
  3. Step 3: Cross multiply
    524,705.45x = 787,223.57 × 398,947.46
  4. Step 4: Simplify right side
    524,705.45x = 314,060,837,772.78
  5. Step 5: Solve for x
    x = 314,060,837,772.78/524,705.45
  6. Step 6: Final answer
    x = 598,546.94

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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.