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Finding the Fourth Proportional to 291,710.63, 437,639.75 and 81,348.59

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Solution

The fourth proportional to 291,710.63, 437,639.75 and 81,348.59 is: 122,043.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,710.63 : 437,639.75 = 81,348.59 : x
  2. Step 2: Convert to fraction form
    291,710.63/437,639.75 = 81,348.59/x
  3. Step 3: Cross multiply
    291,710.63x = 437,639.75 × 81,348.59
  4. Step 4: Simplify right side
    291,710.63x = 35,601,373,995.51
  5. Step 5: Solve for x
    x = 35,601,373,995.51/291,710.63
  6. Step 6: Final answer
    x = 122,043.46

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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.