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Finding the Fourth Proportional to 613,548.98, 847,113.21 and 384,198.29

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Solution

The fourth proportional to 613,548.98, 847,113.21 and 384,198.29 is: 530,453.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,548.98 : 847,113.21 = 384,198.29 : x
  2. Step 2: Convert to fraction form
    613,548.98/847,113.21 = 384,198.29/x
  3. Step 3: Cross multiply
    613,548.98x = 847,113.21 × 384,198.29
  4. Step 4: Simplify right side
    613,548.98x = 325,459,442,482.85
  5. Step 5: Solve for x
    x = 325,459,442,482.85/613,548.98
  6. Step 6: Final answer
    x = 530,453.89

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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.