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Finding the Fourth Proportional to 255,005.60, 381,730.80 and 149,511.20

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Solution

The fourth proportional to 255,005.60, 381,730.80 and 149,511.20 is: 223,810.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,005.60 : 381,730.80 = 149,511.20 : x
  2. Step 2: Convert to fraction form
    255,005.60/381,730.80 = 149,511.20/x
  3. Step 3: Cross multiply
    255,005.60x = 381,730.80 × 149,511.20
  4. Step 4: Simplify right side
    255,005.60x = 57,073,029,984.96
  5. Step 5: Solve for x
    x = 57,073,029,984.96/255,005.60
  6. Step 6: Final answer
    x = 223,810.89

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1.5x scale

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.