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Finding the Fourth Proportional to 489,628.80, 734,443.20 and 290,563.20

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Solution

The fourth proportional to 489,628.80, 734,443.20 and 290,563.20 is: 435,844.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,628.80 : 734,443.20 = 290,563.20 : x
  2. Step 2: Convert to fraction form
    489,628.80/734,443.20 = 290,563.20/x
  3. Step 3: Cross multiply
    489,628.80x = 734,443.20 × 290,563.20
  4. Step 4: Simplify right side
    489,628.80x = 213,402,166,410.24
  5. Step 5: Solve for x
    x = 213,402,166,410.24/489,628.80
  6. Step 6: Final answer
    x = 435,844.80

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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.