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Finding the Fourth Proportional to 463,708.44, 643,191.53 and 451,417.50

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Solution

The fourth proportional to 463,708.44, 643,191.53 and 451,417.50 is: 626,143.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,708.44 : 643,191.53 = 451,417.50 : x
  2. Step 2: Convert to fraction form
    463,708.44/643,191.53 = 451,417.50/x
  3. Step 3: Cross multiply
    463,708.44x = 643,191.53 × 451,417.50
  4. Step 4: Simplify right side
    463,708.44x = 290,347,913,537.48
  5. Step 5: Solve for x
    x = 290,347,913,537.48/463,708.44
  6. Step 6: Final answer
    x = 626,143.25

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.