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Finding the Fourth Proportional to 489,443.16, 734,162.99 and 276,114.29

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Solution

The fourth proportional to 489,443.16, 734,162.99 and 276,114.29 is: 414,170.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,443.16 : 734,162.99 = 276,114.29 : x
  2. Step 2: Convert to fraction form
    489,443.16/734,162.99 = 276,114.29/x
  3. Step 3: Cross multiply
    489,443.16x = 734,162.99 × 276,114.29
  4. Step 4: Simplify right side
    489,443.16x = 202,712,895,424.38
  5. Step 5: Solve for x
    x = 202,712,895,424.38/489,443.16
  6. Step 6: Final answer
    x = 414,170.45

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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.