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Finding the Fourth Proportional to 456,306, 684,406.69 and 119,379.16

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Solution

The fourth proportional to 456,306, 684,406.69 and 119,379.16 is: 179,055.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,306 : 684,406.69 = 119,379.16 : x
  2. Step 2: Convert to fraction form
    456,306/684,406.69 = 119,379.16/x
  3. Step 3: Cross multiply
    456,306x = 684,406.69 × 119,379.16
  4. Step 4: Simplify right side
    456,306x = 81,703,895,750.58
  5. Step 5: Solve for x
    x = 81,703,895,750.58/456,306
  6. Step 6: Final answer
    x = 179,055.05

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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.