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Finding the Fourth Proportional to 586,364.86, 809,115.24 and 328,255.93

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Solution

The fourth proportional to 586,364.86, 809,115.24 and 328,255.93 is: 452,954.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,364.86 : 809,115.24 = 328,255.93 : x
  2. Step 2: Convert to fraction form
    586,364.86/809,115.24 = 328,255.93/x
  3. Step 3: Cross multiply
    586,364.86x = 809,115.24 × 328,255.93
  4. Step 4: Simplify right side
    586,364.86x = 265,596,875,583.37
  5. Step 5: Solve for x
    x = 265,596,875,583.37/586,364.86
  6. Step 6: Final answer
    x = 452,954.97

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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.