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Finding the Fourth Proportional to 507,201.72, 699,929.82 and 280,842.36

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Solution

The fourth proportional to 507,201.72, 699,929.82 and 280,842.36 is: 387,557.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,201.72 : 699,929.82 = 280,842.36 : x
  2. Step 2: Convert to fraction form
    507,201.72/699,929.82 = 280,842.36/x
  3. Step 3: Cross multiply
    507,201.72x = 699,929.82 × 280,842.36
  4. Step 4: Simplify right side
    507,201.72x = 196,569,942,483.18
  5. Step 5: Solve for x
    x = 196,569,942,483.18/507,201.72
  6. Step 6: Final answer
    x = 387,557.72

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1.5x scale

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.