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Finding the Fourth Proportional to 293,209.20, 439,295.40 and 260,031.60

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Solution

The fourth proportional to 293,209.20, 439,295.40 and 260,031.60 is: 389,587.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,209.20 : 439,295.40 = 260,031.60 : x
  2. Step 2: Convert to fraction form
    293,209.20/439,295.40 = 260,031.60/x
  3. Step 3: Cross multiply
    293,209.20x = 439,295.40 × 260,031.60
  4. Step 4: Simplify right side
    293,209.20x = 114,230,685,734.64
  5. Step 5: Solve for x
    x = 114,230,685,734.64/293,209.20
  6. Step 6: Final answer
    x = 389,587.66

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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.