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Finding the Fourth Proportional to 309,097.04, 463,645.56 and 168,779.12

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Solution

The fourth proportional to 309,097.04, 463,645.56 and 168,779.12 is: 253,168.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,097.04 : 463,645.56 = 168,779.12 : x
  2. Step 2: Convert to fraction form
    309,097.04/463,645.56 = 168,779.12/x
  3. Step 3: Cross multiply
    309,097.04x = 463,645.56 × 168,779.12
  4. Step 4: Simplify right side
    309,097.04x = 78,253,689,608.71
  5. Step 5: Solve for x
    x = 78,253,689,608.71/309,097.04
  6. Step 6: Final answer
    x = 253,168.68

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Similar ratio
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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.