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Finding the Fourth Proportional to 218,675.20, 328,012.80 and 165,798.40

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Solution

The fourth proportional to 218,675.20, 328,012.80 and 165,798.40 is: 248,697.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,675.20 : 328,012.80 = 165,798.40 : x
  2. Step 2: Convert to fraction form
    218,675.20/328,012.80 = 165,798.40/x
  3. Step 3: Cross multiply
    218,675.20x = 328,012.80 × 165,798.40
  4. Step 4: Simplify right side
    218,675.20x = 54,383,997,419.52
  5. Step 5: Solve for x
    x = 54,383,997,419.52/218,675.20
  6. Step 6: Final answer
    x = 248,697.60

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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.