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Finding the Fourth Proportional to 702,767.86, 969,820.05 and 380,478.04

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Solution

The fourth proportional to 702,767.86, 969,820.05 and 380,478.04 is: 525,059.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,767.86 : 969,820.05 = 380,478.04 : x
  2. Step 2: Convert to fraction form
    702,767.86/969,820.05 = 380,478.04/x
  3. Step 3: Cross multiply
    702,767.86x = 969,820.05 × 380,478.04
  4. Step 4: Simplify right side
    702,767.86x = 368,995,231,776.70
  5. Step 5: Solve for x
    x = 368,995,231,776.70/702,767.86
  6. Step 6: Final answer
    x = 525,059.91

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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.