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Finding the Fourth Proportional to 504,708.68, 696,731.22 and 311,150.98

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Solution

The fourth proportional to 504,708.68, 696,731.22 and 311,150.98 is: 429,532.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,708.68 : 696,731.22 = 311,150.98 : x
  2. Step 2: Convert to fraction form
    504,708.68/696,731.22 = 311,150.98/x
  3. Step 3: Cross multiply
    504,708.68x = 696,731.22 × 311,150.98
  4. Step 4: Simplify right side
    504,708.68x = 216,788,601,899.60
  5. Step 5: Solve for x
    x = 216,788,601,899.60/504,708.68
  6. Step 6: Final answer
    x = 429,532.14

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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.