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Finding the Fourth Proportional to 460,207.80, 689,145.30 and 439,212.60

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Solution

The fourth proportional to 460,207.80, 689,145.30 and 439,212.60 is: 657,705.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,207.80 : 689,145.30 = 439,212.60 : x
  2. Step 2: Convert to fraction form
    460,207.80/689,145.30 = 439,212.60/x
  3. Step 3: Cross multiply
    460,207.80x = 689,145.30 × 439,212.60
  4. Step 4: Simplify right side
    460,207.80x = 302,681,298,990.78
  5. Step 5: Solve for x
    x = 302,681,298,990.78/460,207.80
  6. Step 6: Final answer
    x = 657,705.71

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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.