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Finding the Fourth Proportional to 489,586.51, 734,224.23 and 157,084.75

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Solution

The fourth proportional to 489,586.51, 734,224.23 and 157,084.75 is: 235,577.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,586.51 : 734,224.23 = 157,084.75 : x
  2. Step 2: Convert to fraction form
    489,586.51/734,224.23 = 157,084.75/x
  3. Step 3: Cross multiply
    489,586.51x = 734,224.23 × 157,084.75
  4. Step 4: Simplify right side
    489,586.51x = 115,335,429,613.49
  5. Step 5: Solve for x
    x = 115,335,429,613.49/489,586.51
  6. Step 6: Final answer
    x = 235,577.22

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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.