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Finding the Fourth Proportional to 647,567.80, 970,931.22 and 310,600.60

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Solution

The fourth proportional to 647,567.80, 970,931.22 and 310,600.60 is: 465,699.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,567.80 : 970,931.22 = 310,600.60 : x
  2. Step 2: Convert to fraction form
    647,567.80/970,931.22 = 310,600.60/x
  3. Step 3: Cross multiply
    647,567.80x = 970,931.22 × 310,600.60
  4. Step 4: Simplify right side
    647,567.80x = 301,571,819,490.73
  5. Step 5: Solve for x
    x = 301,571,819,490.73/647,567.80
  6. Step 6: Final answer
    x = 465,699.22

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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.