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Finding the Fourth Proportional to 463,400.16, 639,656.88 and 282,029.28

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Solution

The fourth proportional to 463,400.16, 639,656.88 and 282,029.28 is: 389,300.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,400.16 : 639,656.88 = 282,029.28 : x
  2. Step 2: Convert to fraction form
    463,400.16/639,656.88 = 282,029.28/x
  3. Step 3: Cross multiply
    463,400.16x = 639,656.88 × 282,029.28
  4. Step 4: Simplify right side
    463,400.16x = 180,401,969,313.45
  5. Step 5: Solve for x
    x = 180,401,969,313.45/463,400.16
  6. Step 6: Final answer
    x = 389,300.62

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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.