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Finding the Fourth Proportional to 459,456.36, 689,499.42 and 178,975.08

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Solution

The fourth proportional to 459,456.36, 689,499.42 and 178,975.08 is: 268,585.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,456.36 : 689,499.42 = 178,975.08 : x
  2. Step 2: Convert to fraction form
    459,456.36/689,499.42 = 178,975.08/x
  3. Step 3: Cross multiply
    459,456.36x = 689,499.42 × 178,975.08
  4. Step 4: Simplify right side
    459,456.36x = 123,403,213,854.45
  5. Step 5: Solve for x
    x = 123,403,213,854.45/459,456.36
  6. Step 6: Final answer
    x = 268,585.28

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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.