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Finding the Fourth Proportional to 316,710, 437,047 and 189,455.92

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Solution

The fourth proportional to 316,710, 437,047 and 189,455.92 is: 261,441.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,710 : 437,047 = 189,455.92 : x
  2. Step 2: Convert to fraction form
    316,710/437,047 = 189,455.92/x
  3. Step 3: Cross multiply
    316,710x = 437,047 × 189,455.92
  4. Step 4: Simplify right side
    316,710x = 82,801,141,468.24
  5. Step 5: Solve for x
    x = 82,801,141,468.24/316,710
  6. Step 6: Final answer
    x = 261,441.51

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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.