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Finding the Fourth Proportional to 349,257.60, 523,195.20 and 208,598.40

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Solution

The fourth proportional to 349,257.60, 523,195.20 and 208,598.40 is: 312,484.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,257.60 : 523,195.20 = 208,598.40 : x
  2. Step 2: Convert to fraction form
    349,257.60/523,195.20 = 208,598.40/x
  3. Step 3: Cross multiply
    349,257.60x = 523,195.20 × 208,598.40
  4. Step 4: Simplify right side
    349,257.60x = 109,137,681,607.68
  5. Step 5: Solve for x
    x = 109,137,681,607.68/349,257.60
  6. Step 6: Final answer
    x = 312,484.77

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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.