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Finding the Fourth Proportional to 501,687.64, 692,323.70 and 280,925.37

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Solution

The fourth proportional to 501,687.64, 692,323.70 and 280,925.37 is: 387,674.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,687.64 : 692,323.70 = 280,925.37 : x
  2. Step 2: Convert to fraction form
    501,687.64/692,323.70 = 280,925.37/x
  3. Step 3: Cross multiply
    501,687.64x = 692,323.70 × 280,925.37
  4. Step 4: Simplify right side
    501,687.64x = 194,491,291,158.25
  5. Step 5: Solve for x
    x = 194,491,291,158.25/501,687.64
  6. Step 6: Final answer
    x = 387,674.07

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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.