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Finding the Fourth Proportional to 456,187.40, 684,085.38 and 156,698.12

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Solution

The fourth proportional to 456,187.40, 684,085.38 and 156,698.12 is: 234,979.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,187.40 : 684,085.38 = 156,698.12 : x
  2. Step 2: Convert to fraction form
    456,187.40/684,085.38 = 156,698.12/x
  3. Step 3: Cross multiply
    456,187.40x = 684,085.38 × 156,698.12
  4. Step 4: Simplify right side
    456,187.40x = 107,194,892,965.49
  5. Step 5: Solve for x
    x = 107,194,892,965.49/456,187.40
  6. Step 6: Final answer
    x = 234,979.95

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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.