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Finding the Fourth Proportional to 612,773.12, 918,220.80 and 412,352

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Solution

The fourth proportional to 612,773.12, 918,220.80 and 412,352 is: 617,896.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,773.12 : 918,220.80 = 412,352 : x
  2. Step 2: Convert to fraction form
    612,773.12/918,220.80 = 412,352/x
  3. Step 3: Cross multiply
    612,773.12x = 918,220.80 × 412,352
  4. Step 4: Simplify right side
    612,773.12x = 378,630,183,321.60
  5. Step 5: Solve for x
    x = 378,630,183,321.60/612,773.12
  6. Step 6: Final answer
    x = 617,896.20

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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.