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Finding the Fourth Proportional to 380,488.59, 525,055.50 and 208,407.33

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Solution

The fourth proportional to 380,488.59, 525,055.50 and 208,407.33 is: 287,591.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,488.59 : 525,055.50 = 208,407.33 : x
  2. Step 2: Convert to fraction form
    380,488.59/525,055.50 = 208,407.33/x
  3. Step 3: Cross multiply
    380,488.59x = 525,055.50 × 208,407.33
  4. Step 4: Simplify right side
    380,488.59x = 109,425,414,856.82
  5. Step 5: Solve for x
    x = 109,425,414,856.82/380,488.59
  6. Step 6: Final answer
    x = 287,591.84

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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.