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Finding the Fourth Proportional to 386,136.16, 532,882.32 and 216,364

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Solution

The fourth proportional to 386,136.16, 532,882.32 and 216,364 is: 298,590.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,136.16 : 532,882.32 = 216,364 : x
  2. Step 2: Convert to fraction form
    386,136.16/532,882.32 = 216,364/x
  3. Step 3: Cross multiply
    386,136.16x = 532,882.32 × 216,364
  4. Step 4: Simplify right side
    386,136.16x = 115,296,550,284.48
  5. Step 5: Solve for x
    x = 115,296,550,284.48/386,136.16
  6. Step 6: Final answer
    x = 298,590.40

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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.