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Finding the Fourth Proportional to 500,372.48, 689,827.61 and 316,519.58

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Solution

The fourth proportional to 500,372.48, 689,827.61 and 316,519.58 is: 436,362.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,372.48 : 689,827.61 = 316,519.58 : x
  2. Step 2: Convert to fraction form
    500,372.48/689,827.61 = 316,519.58/x
  3. Step 3: Cross multiply
    500,372.48x = 689,827.61 × 316,519.58
  4. Step 4: Simplify right side
    500,372.48x = 218,343,942,731.77
  5. Step 5: Solve for x
    x = 218,343,942,731.77/500,372.48
  6. Step 6: Final answer
    x = 436,362.82

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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.