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Finding the Fourth Proportional to 465,056.87, 641,842.65 and 258,371.60

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Solution

The fourth proportional to 465,056.87, 641,842.65 and 258,371.60 is: 356,588.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,056.87 : 641,842.65 = 258,371.60 : x
  2. Step 2: Convert to fraction form
    465,056.87/641,842.65 = 258,371.60/x
  3. Step 3: Cross multiply
    465,056.87x = 641,842.65 × 258,371.60
  4. Step 4: Simplify right side
    465,056.87x = 165,833,909,219.53
  5. Step 5: Solve for x
    x = 165,833,909,219.53/465,056.87
  6. Step 6: Final answer
    x = 356,588.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.