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Finding the Fourth Proportional to 388,835.66, 536,593.23 and 209,987.66

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Solution

The fourth proportional to 388,835.66, 536,593.23 and 209,987.66 is: 289,782.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,835.66 : 536,593.23 = 209,987.66 : x
  2. Step 2: Convert to fraction form
    388,835.66/536,593.23 = 209,987.66/x
  3. Step 3: Cross multiply
    388,835.66x = 536,593.23 × 209,987.66
  4. Step 4: Simplify right side
    388,835.66x = 112,677,954,056.58
  5. Step 5: Solve for x
    x = 112,677,954,056.58/388,835.66
  6. Step 6: Final answer
    x = 289,782.98

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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.