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Finding the Fourth Proportional to 380,753.64, 525,438.93 and 210,987.76

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Solution

The fourth proportional to 380,753.64, 525,438.93 and 210,987.76 is: 291,162.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,753.64 : 525,438.93 = 210,987.76 : x
  2. Step 2: Convert to fraction form
    380,753.64/525,438.93 = 210,987.76/x
  3. Step 3: Cross multiply
    380,753.64x = 525,438.93 × 210,987.76
  4. Step 4: Simplify right side
    380,753.64x = 110,861,182,857.50
  5. Step 5: Solve for x
    x = 110,861,182,857.50/380,753.64
  6. Step 6: Final answer
    x = 291,162.50

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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.