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Finding the Fourth Proportional to 407,407.74, 562,222.89 and 226,119.75

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Solution

The fourth proportional to 407,407.74, 562,222.89 and 226,119.75 is: 312,045.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,407.74 : 562,222.89 = 226,119.75 : x
  2. Step 2: Convert to fraction form
    407,407.74/562,222.89 = 226,119.75/x
  3. Step 3: Cross multiply
    407,407.74x = 562,222.89 × 226,119.75
  4. Step 4: Simplify right side
    407,407.74x = 127,129,699,331.08
  5. Step 5: Solve for x
    x = 127,129,699,331.08/407,407.74
  6. Step 6: Final answer
    x = 312,045.37

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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.