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Finding the Fourth Proportional to 408,945.88, 611,710.23 and 287,357.90

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Solution

The fourth proportional to 408,945.88, 611,710.23 and 287,357.90 is: 429,836.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,945.88 : 611,710.23 = 287,357.90 : x
  2. Step 2: Convert to fraction form
    408,945.88/611,710.23 = 287,357.90/x
  3. Step 3: Cross multiply
    408,945.88x = 611,710.23 × 287,357.90
  4. Step 4: Simplify right side
    408,945.88x = 175,779,767,101.32
  5. Step 5: Solve for x
    x = 175,779,767,101.32/408,945.88
  6. Step 6: Final answer
    x = 429,836.26

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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.