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Finding the Fourth Proportional to 501,687.16, 692,652.54 and 310,903

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Solution

The fourth proportional to 501,687.16, 692,652.54 and 310,903 is: 429,247.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,687.16 : 692,652.54 = 310,903 : x
  2. Step 2: Convert to fraction form
    501,687.16/692,652.54 = 310,903/x
  3. Step 3: Cross multiply
    501,687.16x = 692,652.54 × 310,903
  4. Step 4: Simplify right side
    501,687.16x = 215,347,752,643.62
  5. Step 5: Solve for x
    x = 215,347,752,643.62/501,687.16
  6. Step 6: Final answer
    x = 429,247.09

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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.