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Finding the Fourth Proportional to 456,554.44, 684,655.26 and 156,978.28

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Solution

The fourth proportional to 456,554.44, 684,655.26 and 156,978.28 is: 235,406.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,554.44 : 684,655.26 = 156,978.28 : x
  2. Step 2: Convert to fraction form
    456,554.44/684,655.26 = 156,978.28/x
  3. Step 3: Cross multiply
    456,554.44x = 684,655.26 × 156,978.28
  4. Step 4: Simplify right side
    456,554.44x = 107,476,005,107.75
  5. Step 5: Solve for x
    x = 107,476,005,107.75/456,554.44
  6. Step 6: Final answer
    x = 235,406.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.