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Finding the Fourth Proportional to 504,815.04, 757,512 and 205,240.32

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Solution

The fourth proportional to 504,815.04, 757,512 and 205,240.32 is: 307,978.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,815.04 : 757,512 = 205,240.32 : x
  2. Step 2: Convert to fraction form
    504,815.04/757,512 = 205,240.32/x
  3. Step 3: Cross multiply
    504,815.04x = 757,512 × 205,240.32
  4. Step 4: Simplify right side
    504,815.04x = 155,472,005,283.84
  5. Step 5: Solve for x
    x = 155,472,005,283.84/504,815.04
  6. Step 6: Final answer
    x = 307,978.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.