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Finding the Fourth Proportional to 647,380.70, 970,840.65 and 292,564.70

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Solution

The fourth proportional to 647,380.70, 970,840.65 and 292,564.70 is: 438,742.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,380.70 : 970,840.65 = 292,564.70 : x
  2. Step 2: Convert to fraction form
    647,380.70/970,840.65 = 292,564.70/x
  3. Step 3: Cross multiply
    647,380.70x = 970,840.65 × 292,564.70
  4. Step 4: Simplify right side
    647,380.70x = 284,033,703,515.06
  5. Step 5: Solve for x
    x = 284,033,703,515.06/647,380.70
  6. Step 6: Final answer
    x = 438,742.93

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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.