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Finding the Fourth Proportional to 349,855.60, 524,092.20 and 209,196.40

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Solution

The fourth proportional to 349,855.60, 524,092.20 and 209,196.40 is: 313,381.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,855.60 : 524,092.20 = 209,196.40 : x
  2. Step 2: Convert to fraction form
    349,855.60/524,092.20 = 209,196.40/x
  3. Step 3: Cross multiply
    349,855.60x = 524,092.20 × 209,196.40
  4. Step 4: Simplify right side
    349,855.60x = 109,638,201,508.08
  5. Step 5: Solve for x
    x = 109,638,201,508.08/349,855.60
  6. Step 6: Final answer
    x = 313,381.30

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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.