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Finding the Fourth Proportional to 510,102.37, 703,946.67 and 280,662.67

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Solution

The fourth proportional to 510,102.37, 703,946.67 and 280,662.67 is: 387,317.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,102.37 : 703,946.67 = 280,662.67 : x
  2. Step 2: Convert to fraction form
    510,102.37/703,946.67 = 280,662.67/x
  3. Step 3: Cross multiply
    510,102.37x = 703,946.67 × 280,662.67
  4. Step 4: Simplify right side
    510,102.37x = 197,571,551,939.81
  5. Step 5: Solve for x
    x = 197,571,551,939.81/510,102.37
  6. Step 6: Final answer
    x = 387,317.46

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1.5x scale

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.