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Finding the Fourth Proportional to 433,817.80, 650,726.70 and 430,865.35

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Solution

The fourth proportional to 433,817.80, 650,726.70 and 430,865.35 is: 646,298.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,817.80 : 650,726.70 = 430,865.35 : x
  2. Step 2: Convert to fraction form
    433,817.80/650,726.70 = 430,865.35/x
  3. Step 3: Cross multiply
    433,817.80x = 650,726.70 × 430,865.35
  4. Step 4: Simplify right side
    433,817.80x = 280,375,587,349.85
  5. Step 5: Solve for x
    x = 280,375,587,349.85/433,817.80
  6. Step 6: Final answer
    x = 646,298.03

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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.