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Finding the Fourth Proportional to 647,295.76, 970,733.57 and 305,686.36

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Solution

The fourth proportional to 647,295.76, 970,733.57 and 305,686.36 is: 458,430.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,295.76 : 970,733.57 = 305,686.36 : x
  2. Step 2: Convert to fraction form
    647,295.76/970,733.57 = 305,686.36/x
  3. Step 3: Cross multiply
    647,295.76x = 970,733.57 × 305,686.36
  4. Step 4: Simplify right side
    647,295.76x = 296,740,011,543.11
  5. Step 5: Solve for x
    x = 296,740,011,543.11/647,295.76
  6. Step 6: Final answer
    x = 458,430.33

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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.