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Finding the Fourth Proportional to 458,549.76, 683,638.75 and 446,896.47

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Solution

The fourth proportional to 458,549.76, 683,638.75 and 446,896.47 is: 666,265.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,549.76 : 683,638.75 = 446,896.47 : x
  2. Step 2: Convert to fraction form
    458,549.76/683,638.75 = 446,896.47/x
  3. Step 3: Cross multiply
    458,549.76x = 683,638.75 × 446,896.47
  4. Step 4: Simplify right side
    458,549.76x = 305,515,744,130.21
  5. Step 5: Solve for x
    x = 305,515,744,130.21/458,549.76
  6. Step 6: Final answer
    x = 666,265.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.