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Finding the Fourth Proportional to 555,084, 766,014.48 and 300,435.12

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Solution

The fourth proportional to 555,084, 766,014.48 and 300,435.12 is: 414,599.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,084 : 766,014.48 = 300,435.12 : x
  2. Step 2: Convert to fraction form
    555,084/766,014.48 = 300,435.12/x
  3. Step 3: Cross multiply
    555,084x = 766,014.48 × 300,435.12
  4. Step 4: Simplify right side
    555,084x = 230,137,652,220.54
  5. Step 5: Solve for x
    x = 230,137,652,220.54/555,084
  6. Step 6: Final answer
    x = 414,599.69

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1.5x scale

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.