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Finding the Fourth Proportional to 406,134.58, 609,004.51 and 203,643.69

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Solution

The fourth proportional to 406,134.58, 609,004.51 and 203,643.69 is: 305,366.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,134.58 : 609,004.51 = 203,643.69 : x
  2. Step 2: Convert to fraction form
    406,134.58/609,004.51 = 203,643.69/x
  3. Step 3: Cross multiply
    406,134.58x = 609,004.51 × 203,643.69
  4. Step 4: Simplify right side
    406,134.58x = 124,019,925,643.04
  5. Step 5: Solve for x
    x = 124,019,925,643.04/406,134.58
  6. Step 6: Final answer
    x = 305,366.57

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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.