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Finding the Fourth Proportional to 702,389.61, 969,289.74 and 380,093.85

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Solution

The fourth proportional to 702,389.61, 969,289.74 and 380,093.85 is: 524,525.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,389.61 : 969,289.74 = 380,093.85 : x
  2. Step 2: Convert to fraction form
    702,389.61/969,289.74 = 380,093.85/x
  3. Step 3: Cross multiply
    702,389.61x = 969,289.74 × 380,093.85
  4. Step 4: Simplify right side
    702,389.61x = 368,421,069,042.10
  5. Step 5: Solve for x
    x = 368,421,069,042.10/702,389.61
  6. Step 6: Final answer
    x = 524,525.23

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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.