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Finding the Fourth Proportional to 309,711.60, 464,567.40 and 169,743.60

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Solution

The fourth proportional to 309,711.60, 464,567.40 and 169,743.60 is: 254,615.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,711.60 : 464,567.40 = 169,743.60 : x
  2. Step 2: Convert to fraction form
    309,711.60/464,567.40 = 169,743.60/x
  3. Step 3: Cross multiply
    309,711.60x = 464,567.40 × 169,743.60
  4. Step 4: Simplify right side
    309,711.60x = 78,857,342,918.64
  5. Step 5: Solve for x
    x = 78,857,342,918.64/309,711.60
  6. Step 6: Final answer
    x = 254,615.40

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1.5x scale

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.