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Finding the Fourth Proportional to 578,456, 798,225.54 and 320,331.68

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Solution

The fourth proportional to 578,456, 798,225.54 and 320,331.68 is: 442,033.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,456 : 798,225.54 = 320,331.68 : x
  2. Step 2: Convert to fraction form
    578,456/798,225.54 = 320,331.68/x
  3. Step 3: Cross multiply
    578,456x = 798,225.54 × 320,331.68
  4. Step 4: Simplify right side
    578,456x = 255,696,928,247.11
  5. Step 5: Solve for x
    x = 255,696,928,247.11/578,456
  6. Step 6: Final answer
    x = 442,033.50

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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.