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Finding the Fourth Proportional to 500,383.49, 689,842.80 and 316,530.59

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Solution

The fourth proportional to 500,383.49, 689,842.80 and 316,530.59 is: 436,378.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,383.49 : 689,842.80 = 316,530.59 : x
  2. Step 2: Convert to fraction form
    500,383.49/689,842.80 = 316,530.59/x
  3. Step 3: Cross multiply
    500,383.49x = 689,842.80 × 316,530.59
  4. Step 4: Simplify right side
    500,383.49x = 218,356,348,491.25
  5. Step 5: Solve for x
    x = 218,356,348,491.25/500,383.49
  6. Step 6: Final answer
    x = 436,378.00

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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.