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Finding the Fourth Proportional to 509,004.16, 702,427 and 282,649.64

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Solution

The fourth proportional to 509,004.16, 702,427 and 282,649.64 is: 390,057.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,004.16 : 702,427 = 282,649.64 : x
  2. Step 2: Convert to fraction form
    509,004.16/702,427 = 282,649.64/x
  3. Step 3: Cross multiply
    509,004.16x = 702,427 × 282,649.64
  4. Step 4: Simplify right side
    509,004.16x = 198,540,738,676.28
  5. Step 5: Solve for x
    x = 198,540,738,676.28/509,004.16
  6. Step 6: Final answer
    x = 390,057.20

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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.