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Finding the Fourth Proportional to 360,307.72, 497,255.34 and 209,395

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Solution

The fourth proportional to 360,307.72, 497,255.34 and 209,395 is: 288,982.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,307.72 : 497,255.34 = 209,395 : x
  2. Step 2: Convert to fraction form
    360,307.72/497,255.34 = 209,395/x
  3. Step 3: Cross multiply
    360,307.72x = 497,255.34 × 209,395
  4. Step 4: Simplify right side
    360,307.72x = 104,122,781,919.30
  5. Step 5: Solve for x
    x = 104,122,781,919.30/360,307.72
  6. Step 6: Final answer
    x = 288,982.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.