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Finding the Fourth Proportional to 545,102.20, 816,875.70 and 401,829.40

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Solution

The fourth proportional to 545,102.20, 816,875.70 and 401,829.40 is: 602,170.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,102.20 : 816,875.70 = 401,829.40 : x
  2. Step 2: Convert to fraction form
    545,102.20/816,875.70 = 401,829.40/x
  3. Step 3: Cross multiply
    545,102.20x = 816,875.70 × 401,829.40
  4. Step 4: Simplify right side
    545,102.20x = 328,244,672,405.58
  5. Step 5: Solve for x
    x = 328,244,672,405.58/545,102.20
  6. Step 6: Final answer
    x = 602,170.88

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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.