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Finding the Fourth Proportional to 586,315.28, 809,128.78 and 328,185.80

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Solution

The fourth proportional to 586,315.28, 809,128.78 and 328,185.80 is: 452,904.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,315.28 : 809,128.78 = 328,185.80 : x
  2. Step 2: Convert to fraction form
    586,315.28/809,128.78 = 328,185.80/x
  3. Step 3: Cross multiply
    586,315.28x = 809,128.78 × 328,185.80
  4. Step 4: Simplify right side
    586,315.28x = 265,544,575,967.32
  5. Step 5: Solve for x
    x = 265,544,575,967.32/586,315.28
  6. Step 6: Final answer
    x = 452,904.07

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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.