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Finding the Fourth Proportional to 612,774.12, 918,222.30 and 412,353

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Solution

The fourth proportional to 612,774.12, 918,222.30 and 412,353 is: 617,897.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,774.12 : 918,222.30 = 412,353 : x
  2. Step 2: Convert to fraction form
    612,774.12/918,222.30 = 412,353/x
  3. Step 3: Cross multiply
    612,774.12x = 918,222.30 × 412,353
  4. Step 4: Simplify right side
    612,774.12x = 378,631,720,071.90
  5. Step 5: Solve for x
    x = 378,631,720,071.90/612,774.12
  6. Step 6: Final answer
    x = 617,897.70

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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.