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Finding the Fourth Proportional to 406,972.51, 561,650.85 and 225,701.80

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Solution

The fourth proportional to 406,972.51, 561,650.85 and 225,701.80 is: 311,484.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,972.51 : 561,650.85 = 225,701.80 : x
  2. Step 2: Convert to fraction form
    406,972.51/561,650.85 = 225,701.80/x
  3. Step 3: Cross multiply
    406,972.51x = 561,650.85 × 225,701.80
  4. Step 4: Simplify right side
    406,972.51x = 126,765,607,816.53
  5. Step 5: Solve for x
    x = 126,765,607,816.53/406,972.51
  6. Step 6: Final answer
    x = 311,484.45

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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.