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Finding the Fourth Proportional to 430,400.96, 645,674.97 and 177,543.22

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Solution

The fourth proportional to 430,400.96, 645,674.97 and 177,543.22 is: 266,345.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,400.96 : 645,674.97 = 177,543.22 : x
  2. Step 2: Convert to fraction form
    430,400.96/645,674.97 = 177,543.22/x
  3. Step 3: Cross multiply
    430,400.96x = 645,674.97 × 177,543.22
  4. Step 4: Simplify right side
    430,400.96x = 114,635,214,054.30
  5. Step 5: Solve for x
    x = 114,635,214,054.30/430,400.96
  6. Step 6: Final answer
    x = 266,345.16

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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.