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Finding the Fourth Proportional to 406,756.77, 561,265.40 and 225,468.64

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Solution

The fourth proportional to 406,756.77, 561,265.40 and 225,468.64 is: 311,114.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,756.77 : 561,265.40 = 225,468.64 : x
  2. Step 2: Convert to fraction form
    406,756.77/561,265.40 = 225,468.64/x
  3. Step 3: Cross multiply
    406,756.77x = 561,265.40 × 225,468.64
  4. Step 4: Simplify right side
    406,756.77x = 126,547,747,682.31
  5. Step 5: Solve for x
    x = 126,547,747,682.31/406,756.77
  6. Step 6: Final answer
    x = 311,114.06

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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.