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Finding the Fourth Proportional to 489,825.40, 734,738.10 and 134,894.20

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Solution

The fourth proportional to 489,825.40, 734,738.10 and 134,894.20 is: 202,341.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,825.40 : 734,738.10 = 134,894.20 : x
  2. Step 2: Convert to fraction form
    489,825.40/734,738.10 = 134,894.20/x
  3. Step 3: Cross multiply
    489,825.40x = 734,738.10 × 134,894.20
  4. Step 4: Simplify right side
    489,825.40x = 99,111,908,209.02
  5. Step 5: Solve for x
    x = 99,111,908,209.02/489,825.40
  6. Step 6: Final answer
    x = 202,341.30

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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.