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Finding the Fourth Proportional to 406,438.40, 609,657.60 and 169,779.20

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Solution

The fourth proportional to 406,438.40, 609,657.60 and 169,779.20 is: 254,668.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,438.40 : 609,657.60 = 169,779.20 : x
  2. Step 2: Convert to fraction form
    406,438.40/609,657.60 = 169,779.20/x
  3. Step 3: Cross multiply
    406,438.40x = 609,657.60 × 169,779.20
  4. Step 4: Simplify right side
    406,438.40x = 103,507,179,601.92
  5. Step 5: Solve for x
    x = 103,507,179,601.92/406,438.40
  6. Step 6: Final answer
    x = 254,668.80

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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.