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Finding the Fourth Proportional to 586,315.78, 809,129.47 and 328,186.31

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Solution

The fourth proportional to 586,315.78, 809,129.47 and 328,186.31 is: 452,904.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,315.78 : 809,129.47 = 328,186.31 : x
  2. Step 2: Convert to fraction form
    586,315.78/809,129.47 = 328,186.31/x
  3. Step 3: Cross multiply
    586,315.78x = 809,129.47 × 328,186.31
  4. Step 4: Simplify right side
    586,315.78x = 265,545,211,846.37
  5. Step 5: Solve for x
    x = 265,545,211,846.37/586,315.78
  6. Step 6: Final answer
    x = 452,904.77

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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.