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Finding the Fourth Proportional to 316,784.49, 475,137.09 and 103,534.57

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Solution

The fourth proportional to 316,784.49, 475,137.09 and 103,534.57 is: 155,288.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,784.49 : 475,137.09 = 103,534.57 : x
  2. Step 2: Convert to fraction form
    316,784.49/475,137.09 = 103,534.57/x
  3. Step 3: Cross multiply
    316,784.49x = 475,137.09 × 103,534.57
  4. Step 4: Simplify right side
    316,784.49x = 49,193,114,898.12
  5. Step 5: Solve for x
    x = 49,193,114,898.12/316,784.49
  6. Step 6: Final answer
    x = 155,288.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.