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Finding the Fourth Proportional to 406,702.83, 561,268.83 and 225,418.76

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Solution

The fourth proportional to 406,702.83, 561,268.83 and 225,418.76 is: 311,088.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,702.83 : 561,268.83 = 225,418.76 : x
  2. Step 2: Convert to fraction form
    406,702.83/561,268.83 = 225,418.76/x
  3. Step 3: Cross multiply
    406,702.83x = 561,268.83 × 225,418.76
  4. Step 4: Simplify right side
    406,702.83x = 126,520,520,878.91
  5. Step 5: Solve for x
    x = 126,520,520,878.91/406,702.83
  6. Step 6: Final answer
    x = 311,088.37

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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.