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Finding the Fourth Proportional to 380,493.44, 525,036.08 and 219,346.64

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Solution

The fourth proportional to 380,493.44, 525,036.08 and 219,346.64 is: 302,672.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,493.44 : 525,036.08 = 219,346.64 : x
  2. Step 2: Convert to fraction form
    380,493.44/525,036.08 = 219,346.64/x
  3. Step 3: Cross multiply
    380,493.44x = 525,036.08 × 219,346.64
  4. Step 4: Simplify right side
    380,493.44x = 115,164,900,026.77
  5. Step 5: Solve for x
    x = 115,164,900,026.77/380,493.44
  6. Step 6: Final answer
    x = 302,672.50

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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.