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Finding the Fourth Proportional to 406,572.40, 561,061.52 and 225,282.74

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Solution

The fourth proportional to 406,572.40, 561,061.52 and 225,282.74 is: 310,885.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,572.40 : 561,061.52 = 225,282.74 : x
  2. Step 2: Convert to fraction form
    406,572.40/561,061.52 = 225,282.74/x
  3. Step 3: Cross multiply
    406,572.40x = 561,061.52 × 225,282.74
  4. Step 4: Simplify right side
    406,572.40x = 126,397,478,244.01
  5. Step 5: Solve for x
    x = 126,397,478,244.01/406,572.40
  6. Step 6: Final answer
    x = 310,885.54

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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.