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Finding the Fourth Proportional to 464,689.98, 641,245.59 and 257,947.74

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Solution

The fourth proportional to 464,689.98, 641,245.59 and 257,947.74 is: 355,953.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,689.98 : 641,245.59 = 257,947.74 : x
  2. Step 2: Convert to fraction form
    464,689.98/641,245.59 = 257,947.74/x
  3. Step 3: Cross multiply
    464,689.98x = 641,245.59 × 257,947.74
  4. Step 4: Simplify right side
    464,689.98x = 165,407,850,725.47
  5. Step 5: Solve for x
    x = 165,407,850,725.47/464,689.98
  6. Step 6: Final answer
    x = 355,953.13

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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.