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Finding the Fourth Proportional to 567,419, 783,043.50 and 312,779.30

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Solution

The fourth proportional to 567,419, 783,043.50 and 312,779.30 is: 431,638.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,419 : 783,043.50 = 312,779.30 : x
  2. Step 2: Convert to fraction form
    567,419/783,043.50 = 312,779.30/x
  3. Step 3: Cross multiply
    567,419x = 783,043.50 × 312,779.30
  4. Step 4: Simplify right side
    567,419x = 244,919,797,799.55
  5. Step 5: Solve for x
    x = 244,919,797,799.55/567,419
  6. Step 6: Final answer
    x = 431,638.34

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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.