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Finding the Fourth Proportional to 452,613.12, 678,993.12 and 153,111.90

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Solution

The fourth proportional to 452,613.12, 678,993.12 and 153,111.90 is: 229,692.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,613.12 : 678,993.12 = 153,111.90 : x
  2. Step 2: Convert to fraction form
    452,613.12/678,993.12 = 153,111.90/x
  3. Step 3: Cross multiply
    452,613.12x = 678,993.12 × 153,111.90
  4. Step 4: Simplify right side
    452,613.12x = 103,961,926,690.13
  5. Step 5: Solve for x
    x = 103,961,926,690.13/452,613.12
  6. Step 6: Final answer
    x = 229,692.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.