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Finding the Fourth Proportional to 312,814.86, 469,150.41 and 186,490.86

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Solution

The fourth proportional to 312,814.86, 469,150.41 and 186,490.86 is: 279,693.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,814.86 : 469,150.41 = 186,490.86 : x
  2. Step 2: Convert to fraction form
    312,814.86/469,150.41 = 186,490.86/x
  3. Step 3: Cross multiply
    312,814.86x = 469,150.41 × 186,490.86
  4. Step 4: Simplify right side
    312,814.86x = 87,492,263,430.25
  5. Step 5: Solve for x
    x = 87,492,263,430.25/312,814.86
  6. Step 6: Final answer
    x = 279,693.44

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1.5x scale

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.