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Finding the Fourth Proportional to 501,013.12, 691,469.28 and 310,088

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Solution

The fourth proportional to 501,013.12, 691,469.28 and 310,088 is: 427,965.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,013.12 : 691,469.28 = 310,088 : x
  2. Step 2: Convert to fraction form
    501,013.12/691,469.28 = 310,088/x
  3. Step 3: Cross multiply
    501,013.12x = 691,469.28 × 310,088
  4. Step 4: Simplify right side
    501,013.12x = 214,416,326,096.64
  5. Step 5: Solve for x
    x = 214,416,326,096.64/501,013.12
  6. Step 6: Final answer
    x = 427,965.49

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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.