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Finding the Fourth Proportional to 709,296, 1,064,144 and 288,873.60

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Solution

The fourth proportional to 709,296, 1,064,144 and 288,873.60 is: 433,391.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,296 : 1,064,144 = 288,873.60 : x
  2. Step 2: Convert to fraction form
    709,296/1,064,144 = 288,873.60/x
  3. Step 3: Cross multiply
    709,296x = 1,064,144 × 288,873.60
  4. Step 4: Simplify right side
    709,296x = 307,403,108,198.40
  5. Step 5: Solve for x
    x = 307,403,108,198.40/709,296
  6. Step 6: Final answer
    x = 433,391.85

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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.