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Finding the Fourth Proportional to 489,666.16, 734,809.96 and 209,185.52

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Solution

The fourth proportional to 489,666.16, 734,809.96 and 209,185.52 is: 313,911.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,666.16 : 734,809.96 = 209,185.52 : x
  2. Step 2: Convert to fraction form
    489,666.16/734,809.96 = 209,185.52/x
  3. Step 3: Cross multiply
    489,666.16x = 734,809.96 × 209,185.52
  4. Step 4: Simplify right side
    489,666.16x = 153,711,603,583.78
  5. Step 5: Solve for x
    x = 153,711,603,583.78/489,666.16
  6. Step 6: Final answer
    x = 313,911.02

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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.