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Finding the Fourth Proportional to 406,478.70, 561,033.90 and 270,518.40

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Solution

The fourth proportional to 406,478.70, 561,033.90 and 270,518.40 is: 373,377.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,478.70 : 561,033.90 = 270,518.40 : x
  2. Step 2: Convert to fraction form
    406,478.70/561,033.90 = 270,518.40/x
  3. Step 3: Cross multiply
    406,478.70x = 561,033.90 × 270,518.40
  4. Step 4: Simplify right side
    406,478.70x = 151,769,992,973.76
  5. Step 5: Solve for x
    x = 151,769,992,973.76/406,478.70
  6. Step 6: Final answer
    x = 373,377.48

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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.