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Finding the Fourth Proportional to 455,957.40, 684,182.34 and 189,901.56

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Solution

The fourth proportional to 455,957.40, 684,182.34 and 189,901.56 is: 284,954.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,957.40 : 684,182.34 = 189,901.56 : x
  2. Step 2: Convert to fraction form
    455,957.40/684,182.34 = 189,901.56/x
  3. Step 3: Cross multiply
    455,957.40x = 684,182.34 × 189,901.56
  4. Step 4: Simplify right side
    455,957.40x = 129,927,293,690.45
  5. Step 5: Solve for x
    x = 129,927,293,690.45/455,957.40
  6. Step 6: Final answer
    x = 284,954.90

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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.