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Finding the Fourth Proportional to 436,078.80, 654,118.20 and 286,779.60

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Solution

The fourth proportional to 436,078.80, 654,118.20 and 286,779.60 is: 430,169.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,078.80 : 654,118.20 = 286,779.60 : x
  2. Step 2: Convert to fraction form
    436,078.80/654,118.20 = 286,779.60/x
  3. Step 3: Cross multiply
    436,078.80x = 654,118.20 × 286,779.60
  4. Step 4: Simplify right side
    436,078.80x = 187,587,755,748.72
  5. Step 5: Solve for x
    x = 187,587,755,748.72/436,078.80
  6. Step 6: Final answer
    x = 430,169.40

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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.