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Finding the Fourth Proportional to 503,037.12, 693,887.67 and 309,477.90

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Solution

The fourth proportional to 503,037.12, 693,887.67 and 309,477.90 is: 426,892.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,037.12 : 693,887.67 = 309,477.90 : x
  2. Step 2: Convert to fraction form
    503,037.12/693,887.67 = 309,477.90/x
  3. Step 3: Cross multiply
    503,037.12x = 693,887.67 × 309,477.90
  4. Step 4: Simplify right side
    503,037.12x = 214,742,898,947.49
  5. Step 5: Solve for x
    x = 214,742,898,947.49/503,037.12
  6. Step 6: Final answer
    x = 426,892.75

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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.