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Finding the Fourth Proportional to 463,512.72, 639,701.40 and 282,330.72

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Solution

The fourth proportional to 463,512.72, 639,701.40 and 282,330.72 is: 389,649.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,512.72 : 639,701.40 = 282,330.72 : x
  2. Step 2: Convert to fraction form
    463,512.72/639,701.40 = 282,330.72/x
  3. Step 3: Cross multiply
    463,512.72x = 639,701.40 × 282,330.72
  4. Step 4: Simplify right side
    463,512.72x = 180,607,356,847.01
  5. Step 5: Solve for x
    x = 180,607,356,847.01/463,512.72
  6. Step 6: Final answer
    x = 389,649.19

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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.