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Finding the Fourth Proportional to 406,357.02, 609,909.75 and 206,820

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Solution

The fourth proportional to 406,357.02, 609,909.75 and 206,820 is: 310,420.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,357.02 : 609,909.75 = 206,820 : x
  2. Step 2: Convert to fraction form
    406,357.02/609,909.75 = 206,820/x
  3. Step 3: Cross multiply
    406,357.02x = 609,909.75 × 206,820
  4. Step 4: Simplify right side
    406,357.02x = 126,141,534,495
  5. Step 5: Solve for x
    x = 126,141,534,495/406,357.02
  6. Step 6: Final answer
    x = 310,420.46

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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.