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Finding the Fourth Proportional to 489,918.80, 734,689.24 and 190,359.95

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Solution

The fourth proportional to 489,918.80, 734,689.24 and 190,359.95 is: 285,466.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,918.80 : 734,689.24 = 190,359.95 : x
  2. Step 2: Convert to fraction form
    489,918.80/734,689.24 = 190,359.95/x
  3. Step 3: Cross multiply
    489,918.80x = 734,689.24 × 190,359.95
  4. Step 4: Simplify right side
    489,918.80x = 139,855,402,842.59
  5. Step 5: Solve for x
    x = 139,855,402,842.59/489,918.80
  6. Step 6: Final answer
    x = 285,466.49

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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.