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Finding the Fourth Proportional to 393,492.96, 542,952.59 and 221,387.00

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Solution

The fourth proportional to 393,492.96, 542,952.59 and 221,387.00 is: 305,475.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,492.96 : 542,952.59 = 221,387.00 : x
  2. Step 2: Convert to fraction form
    393,492.96/542,952.59 = 221,387.00/x
  3. Step 3: Cross multiply
    393,492.96x = 542,952.59 × 221,387.00
  4. Step 4: Simplify right side
    393,492.96x = 120,202,641,220.63
  5. Step 5: Solve for x
    x = 120,202,641,220.63/393,492.96
  6. Step 6: Final answer
    x = 305,475.96

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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.