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Finding the Fourth Proportional to 461,464.93, 636,820.38 and 257,513.68

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Solution

The fourth proportional to 461,464.93, 636,820.38 and 257,513.68 is: 355,368.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,464.93 : 636,820.38 = 257,513.68 : x
  2. Step 2: Convert to fraction form
    461,464.93/636,820.38 = 257,513.68/x
  3. Step 3: Cross multiply
    461,464.93x = 636,820.38 × 257,513.68
  4. Step 4: Simplify right side
    461,464.93x = 163,989,959,552.80
  5. Step 5: Solve for x
    x = 163,989,959,552.80/461,464.93
  6. Step 6: Final answer
    x = 355,368.20

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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.