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Finding the Fourth Proportional to 504,735.84, 696,534.12 and 289,889.82

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Solution

The fourth proportional to 504,735.84, 696,534.12 and 289,889.82 is: 400,047.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,735.84 : 696,534.12 = 289,889.82 : x
  2. Step 2: Convert to fraction form
    504,735.84/696,534.12 = 289,889.82/x
  3. Step 3: Cross multiply
    504,735.84x = 696,534.12 × 289,889.82
  4. Step 4: Simplify right side
    504,735.84x = 201,918,150,670.66
  5. Step 5: Solve for x
    x = 201,918,150,670.66/504,735.84
  6. Step 6: Final answer
    x = 400,047.18

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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.