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Finding the Fourth Proportional to 489,752.07, 734,911.72 and 205,417.29

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Solution

The fourth proportional to 489,752.07, 734,911.72 and 205,417.29 is: 308,244.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,752.07 : 734,911.72 = 205,417.29 : x
  2. Step 2: Convert to fraction form
    489,752.07/734,911.72 = 205,417.29/x
  3. Step 3: Cross multiply
    489,752.07x = 734,911.72 × 205,417.29
  4. Step 4: Simplify right side
    489,752.07x = 150,963,576,154.02
  5. Step 5: Solve for x
    x = 150,963,576,154.02/489,752.07
  6. Step 6: Final answer
    x = 308,244.90

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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.