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Finding the Fourth Proportional to 406,808.63, 610,314.58 and 287,099.31

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Solution

The fourth proportional to 406,808.63, 610,314.58 and 287,099.31 is: 430,720.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,808.63 : 610,314.58 = 287,099.31 : x
  2. Step 2: Convert to fraction form
    406,808.63/610,314.58 = 287,099.31/x
  3. Step 3: Cross multiply
    406,808.63x = 610,314.58 × 287,099.31
  4. Step 4: Simplify right side
    406,808.63x = 175,220,897,448.49
  5. Step 5: Solve for x
    x = 175,220,897,448.49/406,808.63
  6. Step 6: Final answer
    x = 430,720.70

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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.