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Finding the Fourth Proportional to 378,640.47, 522,526.65 and 208,880.67

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Solution

The fourth proportional to 378,640.47, 522,526.65 and 208,880.67 is: 288,256.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,640.47 : 522,526.65 = 208,880.67 : x
  2. Step 2: Convert to fraction form
    378,640.47/522,526.65 = 208,880.67/x
  3. Step 3: Cross multiply
    378,640.47x = 522,526.65 × 208,880.67
  4. Step 4: Simplify right side
    378,640.47x = 109,145,716,744.86
  5. Step 5: Solve for x
    x = 109,145,716,744.86/378,640.47
  6. Step 6: Final answer
    x = 288,256.87

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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.