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Finding the Fourth Proportional to 406,809.60, 610,214.40 and 217,852.80

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Solution

The fourth proportional to 406,809.60, 610,214.40 and 217,852.80 is: 326,779.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,809.60 : 610,214.40 = 217,852.80 : x
  2. Step 2: Convert to fraction form
    406,809.60/610,214.40 = 217,852.80/x
  3. Step 3: Cross multiply
    406,809.60x = 610,214.40 × 217,852.80
  4. Step 4: Simplify right side
    406,809.60x = 132,936,915,640.32
  5. Step 5: Solve for x
    x = 132,936,915,640.32/406,809.60
  6. Step 6: Final answer
    x = 326,779.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.