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Finding the Fourth Proportional to 384,172.80, 577,521.24 and 356,428.12

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Solution

The fourth proportional to 384,172.80, 577,521.24 and 356,428.12 is: 535,813.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,172.80 : 577,521.24 = 356,428.12 : x
  2. Step 2: Convert to fraction form
    384,172.80/577,521.24 = 356,428.12/x
  3. Step 3: Cross multiply
    384,172.80x = 577,521.24 × 356,428.12
  4. Step 4: Simplify right side
    384,172.80x = 205,844,809,833.27
  5. Step 5: Solve for x
    x = 205,844,809,833.27/384,172.80
  6. Step 6: Final answer
    x = 535,813.08

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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.