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Finding the Fourth Proportional to 393,763.48, 590,382.76 and 191,305.60

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Solution

The fourth proportional to 393,763.48, 590,382.76 and 191,305.60 is: 286,830.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,763.48 : 590,382.76 = 191,305.60 : x
  2. Step 2: Convert to fraction form
    393,763.48/590,382.76 = 191,305.60/x
  3. Step 3: Cross multiply
    393,763.48x = 590,382.76 × 191,305.60
  4. Step 4: Simplify right side
    393,763.48x = 112,943,528,131.46
  5. Step 5: Solve for x
    x = 112,943,528,131.46/393,763.48
  6. Step 6: Final answer
    x = 286,830.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.