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Finding the Fourth Proportional to 540,412.47, 810,495.32 and 203,488.65

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Solution

The fourth proportional to 540,412.47, 810,495.32 and 203,488.65 is: 305,186.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,412.47 : 810,495.32 = 203,488.65 : x
  2. Step 2: Convert to fraction form
    540,412.47/810,495.32 = 203,488.65/x
  3. Step 3: Cross multiply
    540,412.47x = 810,495.32 × 203,488.65
  4. Step 4: Simplify right side
    540,412.47x = 164,926,597,480.68
  5. Step 5: Solve for x
    x = 164,926,597,480.68/540,412.47
  6. Step 6: Final answer
    x = 305,186.51

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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.