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Finding the Fourth Proportional to 489,643.40, 734,421.90 and 134,625.80

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Solution

The fourth proportional to 489,643.40, 734,421.90 and 134,625.80 is: 201,926.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,643.40 : 734,421.90 = 134,625.80 : x
  2. Step 2: Convert to fraction form
    489,643.40/734,421.90 = 134,625.80/x
  3. Step 3: Cross multiply
    489,643.40x = 734,421.90 × 134,625.80
  4. Step 4: Simplify right side
    489,643.40x = 98,872,135,825.02
  5. Step 5: Solve for x
    x = 98,872,135,825.02/489,643.40
  6. Step 6: Final answer
    x = 201,926.82

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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.