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Finding the Fourth Proportional to 349,750.60, 523,416.30 and 209,609.80

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Solution

The fourth proportional to 349,750.60, 523,416.30 and 209,609.80 is: 313,689.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,750.60 : 523,416.30 = 209,609.80 : x
  2. Step 2: Convert to fraction form
    349,750.60/523,416.30 = 209,609.80/x
  3. Step 3: Cross multiply
    349,750.60x = 523,416.30 × 209,609.80
  4. Step 4: Simplify right side
    349,750.60x = 109,713,185,959.74
  5. Step 5: Solve for x
    x = 109,713,185,959.74/349,750.60
  6. Step 6: Final answer
    x = 313,689.77

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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.