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Finding the Fourth Proportional to 507,210.72, 699,942.24 and 280,851.36

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Solution

The fourth proportional to 507,210.72, 699,942.24 and 280,851.36 is: 387,570.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,210.72 : 699,942.24 = 280,851.36 : x
  2. Step 2: Convert to fraction form
    507,210.72/699,942.24 = 280,851.36/x
  3. Step 3: Cross multiply
    507,210.72x = 699,942.24 × 280,851.36
  4. Step 4: Simplify right side
    507,210.72x = 196,579,730,025.45
  5. Step 5: Solve for x
    x = 196,579,730,025.45/507,210.72
  6. Step 6: Final answer
    x = 387,570.14

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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.