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Finding the Fourth Proportional to 215,055.40, 322,647.90 and 152,847.40

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Solution

The fourth proportional to 215,055.40, 322,647.90 and 152,847.40 is: 229,317.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,055.40 : 322,647.90 = 152,847.40 : x
  2. Step 2: Convert to fraction form
    215,055.40/322,647.90 = 152,847.40/x
  3. Step 3: Cross multiply
    215,055.40x = 322,647.90 × 152,847.40
  4. Step 4: Simplify right side
    215,055.40x = 49,315,892,630.46
  5. Step 5: Solve for x
    x = 49,315,892,630.46/215,055.40
  6. Step 6: Final answer
    x = 229,317.16

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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.