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Finding the Fourth Proportional to 702,764.88, 969,816.16 and 380,475.20

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Solution

The fourth proportional to 702,764.88, 969,816.16 and 380,475.20 is: 525,056.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,764.88 : 969,816.16 = 380,475.20 : x
  2. Step 2: Convert to fraction form
    702,764.88/969,816.16 = 380,475.20/x
  3. Step 3: Cross multiply
    702,764.88x = 969,816.16 × 380,475.20
  4. Step 4: Simplify right side
    702,764.88x = 368,990,997,439.23
  5. Step 5: Solve for x
    x = 368,990,997,439.23/702,764.88
  6. Step 6: Final answer
    x = 525,056.11

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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.