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Finding the Fourth Proportional to 462,403.77, 693,674.86 and 142,529.05

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Solution

The fourth proportional to 462,403.77, 693,674.86 and 142,529.05 is: 213,814.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,403.77 : 693,674.86 = 142,529.05 : x
  2. Step 2: Convert to fraction form
    462,403.77/693,674.86 = 142,529.05/x
  3. Step 3: Cross multiply
    462,403.77x = 693,674.86 × 142,529.05
  4. Step 4: Simplify right side
    462,403.77x = 98,868,820,182.55
  5. Step 5: Solve for x
    x = 98,868,820,182.55/462,403.77
  6. Step 6: Final answer
    x = 213,814.91

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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.