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Finding the Fourth Proportional to 385,582.64, 532,103.96 and 215,816.80

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Solution

The fourth proportional to 385,582.64, 532,103.96 and 215,816.80 is: 297,827.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,582.64 : 532,103.96 = 215,816.80 : x
  2. Step 2: Convert to fraction form
    385,582.64/532,103.96 = 215,816.80/x
  3. Step 3: Cross multiply
    385,582.64x = 532,103.96 × 215,816.80
  4. Step 4: Simplify right side
    385,582.64x = 114,836,973,914.53
  5. Step 5: Solve for x
    x = 114,836,973,914.53/385,582.64
  6. Step 6: Final answer
    x = 297,827.14

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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.