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Finding the Fourth Proportional to 380,782.71, 525,501.18 and 211,013.19

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Solution

The fourth proportional to 380,782.71, 525,501.18 and 211,013.19 is: 291,209.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,782.71 : 525,501.18 = 211,013.19 : x
  2. Step 2: Convert to fraction form
    380,782.71/525,501.18 = 211,013.19/x
  3. Step 3: Cross multiply
    380,782.71x = 525,501.18 × 211,013.19
  4. Step 4: Simplify right side
    380,782.71x = 110,887,680,340.56
  5. Step 5: Solve for x
    x = 110,887,680,340.56/380,782.71
  6. Step 6: Final answer
    x = 291,209.86

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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.