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Finding the Fourth Proportional to 489,705.60, 734,558.40 and 157,315.20

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Solution

The fourth proportional to 489,705.60, 734,558.40 and 157,315.20 is: 235,972.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,705.60 : 734,558.40 = 157,315.20 : x
  2. Step 2: Convert to fraction form
    489,705.60/734,558.40 = 157,315.20/x
  3. Step 3: Cross multiply
    489,705.60x = 734,558.40 × 157,315.20
  4. Step 4: Simplify right side
    489,705.60x = 115,557,201,607.68
  5. Step 5: Solve for x
    x = 115,557,201,607.68/489,705.60
  6. Step 6: Final answer
    x = 235,972.80

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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.