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Finding the Fourth Proportional to 500,376.36, 689,832.96 and 316,523.46

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Solution

The fourth proportional to 500,376.36, 689,832.96 and 316,523.46 is: 436,368.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,376.36 : 689,832.96 = 316,523.46 : x
  2. Step 2: Convert to fraction form
    500,376.36/689,832.96 = 316,523.46/x
  3. Step 3: Cross multiply
    500,376.36x = 689,832.96 × 316,523.46
  4. Step 4: Simplify right side
    500,376.36x = 218,348,315,321.24
  5. Step 5: Solve for x
    x = 218,348,315,321.24/500,376.36
  6. Step 6: Final answer
    x = 436,368.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.