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Finding the Fourth Proportional to 388,311.84, 535,798.80 and 218,509.92

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Solution

The fourth proportional to 388,311.84, 535,798.80 and 218,509.92 is: 301,503.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,311.84 : 535,798.80 = 218,509.92 : x
  2. Step 2: Convert to fraction form
    388,311.84/535,798.80 = 218,509.92/x
  3. Step 3: Cross multiply
    388,311.84x = 535,798.80 × 218,509.92
  4. Step 4: Simplify right side
    388,311.84x = 117,077,352,924.10
  5. Step 5: Solve for x
    x = 117,077,352,924.10/388,311.84
  6. Step 6: Final answer
    x = 301,503.43

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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.