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Finding the Fourth Proportional to 501,761.16, 692,754.66 and 310,977

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Solution

The fourth proportional to 501,761.16, 692,754.66 and 310,977 is: 429,349.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,761.16 : 692,754.66 = 310,977 : x
  2. Step 2: Convert to fraction form
    501,761.16/692,754.66 = 310,977/x
  3. Step 3: Cross multiply
    501,761.16x = 692,754.66 × 310,977
  4. Step 4: Simplify right side
    501,761.16x = 215,430,765,902.82
  5. Step 5: Solve for x
    x = 215,430,765,902.82/501,761.16
  6. Step 6: Final answer
    x = 429,349.23

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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.