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Finding the Fourth Proportional to 406,617.51, 561,154.64 and 225,325.65

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Solution

The fourth proportional to 406,617.51, 561,154.64 and 225,325.65 is: 310,961.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,617.51 : 561,154.64 = 225,325.65 : x
  2. Step 2: Convert to fraction form
    406,617.51/561,154.64 = 225,325.65/x
  3. Step 3: Cross multiply
    406,617.51x = 561,154.64 × 225,325.65
  4. Step 4: Simplify right side
    406,617.51x = 126,442,532,881.89
  5. Step 5: Solve for x
    x = 126,442,532,881.89/406,617.51
  6. Step 6: Final answer
    x = 310,961.85

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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.