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Finding the Fourth Proportional to 567,271.76, 782,835.06 and 312,622.94

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Solution

The fourth proportional to 567,271.76, 782,835.06 and 312,622.94 is: 431,419.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,271.76 : 782,835.06 = 312,622.94 : x
  2. Step 2: Convert to fraction form
    567,271.76/782,835.06 = 312,622.94/x
  3. Step 3: Cross multiply
    567,271.76x = 782,835.06 × 312,622.94
  4. Step 4: Simplify right side
    567,271.76x = 244,732,201,121.70
  5. Step 5: Solve for x
    x = 244,732,201,121.70/567,271.76
  6. Step 6: Final answer
    x = 431,419.68

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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.