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Finding the Fourth Proportional to 407,768.25, 562,720.20 and 228,920.25

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Solution

The fourth proportional to 407,768.25, 562,720.20 and 228,920.25 is: 315,909.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,768.25 : 562,720.20 = 228,920.25 : x
  2. Step 2: Convert to fraction form
    407,768.25/562,720.20 = 228,920.25/x
  3. Step 3: Cross multiply
    407,768.25x = 562,720.20 × 228,920.25
  4. Step 4: Simplify right side
    407,768.25x = 128,818,048,864.05
  5. Step 5: Solve for x
    x = 128,818,048,864.05/407,768.25
  6. Step 6: Final answer
    x = 315,909.95

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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.