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Finding the Fourth Proportional to 459,009, 633,491.82 and 257,805

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Solution

The fourth proportional to 459,009, 633,491.82 and 257,805 is: 355,804.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,009 : 633,491.82 = 257,805 : x
  2. Step 2: Convert to fraction form
    459,009/633,491.82 = 257,805/x
  3. Step 3: Cross multiply
    459,009x = 633,491.82 × 257,805
  4. Step 4: Simplify right side
    459,009x = 163,317,358,655.10
  5. Step 5: Solve for x
    x = 163,317,358,655.10/459,009
  6. Step 6: Final answer
    x = 355,804.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.