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Finding the Fourth Proportional to 423,070.80, 634,441.56 and 212,562

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Solution

The fourth proportional to 423,070.80, 634,441.56 and 212,562 is: 318,760.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,070.80 : 634,441.56 = 212,562 : x
  2. Step 2: Convert to fraction form
    423,070.80/634,441.56 = 212,562/x
  3. Step 3: Cross multiply
    423,070.80x = 634,441.56 × 212,562
  4. Step 4: Simplify right side
    423,070.80x = 134,858,166,876.72
  5. Step 5: Solve for x
    x = 134,858,166,876.72/423,070.80
  6. Step 6: Final answer
    x = 318,760.28

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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.