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Finding the Fourth Proportional to 384,811.40, 577,217.10 and 218,923.40

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Solution

The fourth proportional to 384,811.40, 577,217.10 and 218,923.40 is: 328,385.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,811.40 : 577,217.10 = 218,923.40 : x
  2. Step 2: Convert to fraction form
    384,811.40/577,217.10 = 218,923.40/x
  3. Step 3: Cross multiply
    384,811.40x = 577,217.10 × 218,923.40
  4. Step 4: Simplify right side
    384,811.40x = 126,366,330,070.14
  5. Step 5: Solve for x
    x = 126,366,330,070.14/384,811.40
  6. Step 6: Final answer
    x = 328,385.10

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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.