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Finding the Fourth Proportional to 524,032.80, 722,433 and 443,135.76

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Solution

The fourth proportional to 524,032.80, 722,433 and 443,135.76 is: 610,908.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,032.80 : 722,433 = 443,135.76 : x
  2. Step 2: Convert to fraction form
    524,032.80/722,433 = 443,135.76/x
  3. Step 3: Cross multiply
    524,032.80x = 722,433 × 443,135.76
  4. Step 4: Simplify right side
    524,032.80x = 320,135,896,504.08
  5. Step 5: Solve for x
    x = 320,135,896,504.08/524,032.80
  6. Step 6: Final answer
    x = 610,908.13

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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.