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Finding the Fourth Proportional to 512,465.60, 768,698.40 and 484,909.40

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Solution

The fourth proportional to 512,465.60, 768,698.40 and 484,909.40 is: 727,364.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,465.60 : 768,698.40 = 484,909.40 : x
  2. Step 2: Convert to fraction form
    512,465.60/768,698.40 = 484,909.40/x
  3. Step 3: Cross multiply
    512,465.60x = 768,698.40 × 484,909.40
  4. Step 4: Simplify right side
    512,465.60x = 372,749,079,924.96
  5. Step 5: Solve for x
    x = 372,749,079,924.96/512,465.60
  6. Step 6: Final answer
    x = 727,364.10

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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.