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Finding the Fourth Proportional to 307,645.20, 461,467.80 and 258,656.40

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Solution

The fourth proportional to 307,645.20, 461,467.80 and 258,656.40 is: 387,984.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,645.20 : 461,467.80 = 258,656.40 : x
  2. Step 2: Convert to fraction form
    307,645.20/461,467.80 = 258,656.40/x
  3. Step 3: Cross multiply
    307,645.20x = 461,467.80 × 258,656.40
  4. Step 4: Simplify right side
    307,645.20x = 119,361,599,863.92
  5. Step 5: Solve for x
    x = 119,361,599,863.92/307,645.20
  6. Step 6: Final answer
    x = 387,984.60

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1.5x scale

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.