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Finding the Fourth Proportional to 288,543.60, 432,815.40 and 182,255.40

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Solution

The fourth proportional to 288,543.60, 432,815.40 and 182,255.40 is: 273,383.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,543.60 : 432,815.40 = 182,255.40 : x
  2. Step 2: Convert to fraction form
    288,543.60/432,815.40 = 182,255.40/x
  3. Step 3: Cross multiply
    288,543.60x = 432,815.40 × 182,255.40
  4. Step 4: Simplify right side
    288,543.60x = 78,882,943,853.16
  5. Step 5: Solve for x
    x = 78,882,943,853.16/288,543.60
  6. Step 6: Final answer
    x = 273,383.10

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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.