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Finding the Fourth Proportional to 380,509.08, 525,101.22 and 219,363.36

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Solution

The fourth proportional to 380,509.08, 525,101.22 and 219,363.36 is: 302,720.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,509.08 : 525,101.22 = 219,363.36 : x
  2. Step 2: Convert to fraction form
    380,509.08/525,101.22 = 219,363.36/x
  3. Step 3: Cross multiply
    380,509.08x = 525,101.22 × 219,363.36
  4. Step 4: Simplify right side
    380,509.08x = 115,187,967,959.30
  5. Step 5: Solve for x
    x = 115,187,967,959.30/380,509.08
  6. Step 6: Final answer
    x = 302,720.68

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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.