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Finding the Fourth Proportional to 393,739.52, 543,352.96 and 214,892.80

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Solution

The fourth proportional to 393,739.52, 543,352.96 and 214,892.80 is: 296,547.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,739.52 : 543,352.96 = 214,892.80 : x
  2. Step 2: Convert to fraction form
    393,739.52/543,352.96 = 214,892.80/x
  3. Step 3: Cross multiply
    393,739.52x = 543,352.96 × 214,892.80
  4. Step 4: Simplify right side
    393,739.52x = 116,762,638,962.69
  5. Step 5: Solve for x
    x = 116,762,638,962.69/393,739.52
  6. Step 6: Final answer
    x = 296,547.93

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1.5x scale

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.