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Finding the Fourth Proportional to 383,403.66, 529,094.69 and 208,973.67

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Solution

The fourth proportional to 383,403.66, 529,094.69 and 208,973.67 is: 288,382.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,403.66 : 529,094.69 = 208,973.67 : x
  2. Step 2: Convert to fraction form
    383,403.66/529,094.69 = 208,973.67/x
  3. Step 3: Cross multiply
    383,403.66x = 529,094.69 × 208,973.67
  4. Step 4: Simplify right side
    383,403.66x = 110,566,859,146.81
  5. Step 5: Solve for x
    x = 110,566,859,146.81/383,403.66
  6. Step 6: Final answer
    x = 288,382.38

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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.