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Finding the Fourth Proportional to 363,985.40, 545,978.10 and 206,521.40

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Solution

The fourth proportional to 363,985.40, 545,978.10 and 206,521.40 is: 309,782.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,985.40 : 545,978.10 = 206,521.40 : x
  2. Step 2: Convert to fraction form
    363,985.40/545,978.10 = 206,521.40/x
  3. Step 3: Cross multiply
    363,985.40x = 545,978.10 × 206,521.40
  4. Step 4: Simplify right side
    363,985.40x = 112,756,161,581.34
  5. Step 5: Solve for x
    x = 112,756,161,581.34/363,985.40
  6. Step 6: Final answer
    x = 309,782.10

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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.