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Finding the Fourth Proportional to 393,294, 542,746.80 and 214,446

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Solution

The fourth proportional to 393,294, 542,746.80 and 214,446 is: 295,936.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,294 : 542,746.80 = 214,446 : x
  2. Step 2: Convert to fraction form
    393,294/542,746.80 = 214,446/x
  3. Step 3: Cross multiply
    393,294x = 542,746.80 × 214,446
  4. Step 4: Simplify right side
    393,294x = 116,389,880,272.80
  5. Step 5: Solve for x
    x = 116,389,880,272.80/393,294
  6. Step 6: Final answer
    x = 295,936.07

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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.