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Finding the Fourth Proportional to 469,840.05, 648,267.17 and 286,076.47

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Solution

The fourth proportional to 469,840.05, 648,267.17 and 286,076.47 is: 394,717.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,840.05 : 648,267.17 = 286,076.47 : x
  2. Step 2: Convert to fraction form
    469,840.05/648,267.17 = 286,076.47/x
  3. Step 3: Cross multiply
    469,840.05x = 648,267.17 × 286,076.47
  4. Step 4: Simplify right side
    469,840.05x = 185,453,980,559.44
  5. Step 5: Solve for x
    x = 185,453,980,559.44/469,840.05
  6. Step 6: Final answer
    x = 394,717.26

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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.