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Finding the Fourth Proportional to 393,681.35, 590,782.64 and 216,312

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Solution

The fourth proportional to 393,681.35, 590,782.64 and 216,312 is: 324,611.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,681.35 : 590,782.64 = 216,312 : x
  2. Step 2: Convert to fraction form
    393,681.35/590,782.64 = 216,312/x
  3. Step 3: Cross multiply
    393,681.35x = 590,782.64 × 216,312
  4. Step 4: Simplify right side
    393,681.35x = 127,793,373,342.12
  5. Step 5: Solve for x
    x = 127,793,373,342.12/393,681.35
  6. Step 6: Final answer
    x = 324,611.20

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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.