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Finding the Fourth Proportional to 380,509.83, 525,102.26 and 219,364.11

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Solution

The fourth proportional to 380,509.83, 525,102.26 and 219,364.11 is: 302,721.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,509.83 : 525,102.26 = 219,364.11 : x
  2. Step 2: Convert to fraction form
    380,509.83/525,102.26 = 219,364.11/x
  3. Step 3: Cross multiply
    380,509.83x = 525,102.26 × 219,364.11
  4. Step 4: Simplify right side
    380,509.83x = 115,188,588,827.07
  5. Step 5: Solve for x
    x = 115,188,588,827.07/380,509.83
  6. Step 6: Final answer
    x = 302,721.72

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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.