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Finding the Fourth Proportional to 459,999, 690,004.71 and 144,455.94

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Solution

The fourth proportional to 459,999, 690,004.71 and 144,455.94 is: 216,685.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,999 : 690,004.71 = 144,455.94 : x
  2. Step 2: Convert to fraction form
    459,999/690,004.71 = 144,455.94/x
  3. Step 3: Cross multiply
    459,999x = 690,004.71 × 144,455.94
  4. Step 4: Simplify right side
    459,999x = 99,675,278,987.48
  5. Step 5: Solve for x
    x = 99,675,278,987.48/459,999
  6. Step 6: Final answer
    x = 216,685.86

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1.5x scale

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.