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Finding the Fourth Proportional to 417,833.82, 576,039.40 and 287,007.48

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Solution

The fourth proportional to 417,833.82, 576,039.40 and 287,007.48 is: 395,677.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,833.82 : 576,039.40 = 287,007.48 : x
  2. Step 2: Convert to fraction form
    417,833.82/576,039.40 = 287,007.48/x
  3. Step 3: Cross multiply
    417,833.82x = 576,039.40 × 287,007.48
  4. Step 4: Simplify right side
    417,833.82x = 165,327,616,574.71
  5. Step 5: Solve for x
    x = 165,327,616,574.71/417,833.82
  6. Step 6: Final answer
    x = 395,677.92

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1.5x scale

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.