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Finding the Fourth Proportional to 439,648.40, 659,472.60 and 260,022.80

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Solution

The fourth proportional to 439,648.40, 659,472.60 and 260,022.80 is: 390,034.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,648.40 : 659,472.60 = 260,022.80 : x
  2. Step 2: Convert to fraction form
    439,648.40/659,472.60 = 260,022.80/x
  3. Step 3: Cross multiply
    439,648.40x = 659,472.60 × 260,022.80
  4. Step 4: Simplify right side
    439,648.40x = 171,477,911,975.28
  5. Step 5: Solve for x
    x = 171,477,911,975.28/439,648.40
  6. Step 6: Final answer
    x = 390,034.20

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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.