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Finding the Fourth Proportional to 406,674.11, 561,210.32 and 225,397.74

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Solution

The fourth proportional to 406,674.11, 561,210.32 and 225,397.74 is: 311,048.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,674.11 : 561,210.32 = 225,397.74 : x
  2. Step 2: Convert to fraction form
    406,674.11/561,210.32 = 225,397.74/x
  3. Step 3: Cross multiply
    406,674.11x = 561,210.32 × 225,397.74
  4. Step 4: Simplify right side
    406,674.11x = 126,495,537,792.68
  5. Step 5: Solve for x
    x = 126,495,537,792.68/406,674.11
  6. Step 6: Final answer
    x = 311,048.91

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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.