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Finding the Fourth Proportional to 298,385.55, 411,780.69 and 162,428.31

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Solution

The fourth proportional to 298,385.55, 411,780.69 and 162,428.31 is: 224,155.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,385.55 : 411,780.69 = 162,428.31 : x
  2. Step 2: Convert to fraction form
    298,385.55/411,780.69 = 162,428.31/x
  3. Step 3: Cross multiply
    298,385.55x = 411,780.69 × 162,428.31
  4. Step 4: Simplify right side
    298,385.55x = 66,884,841,567.33
  5. Step 5: Solve for x
    x = 66,884,841,567.33/298,385.55
  6. Step 6: Final answer
    x = 224,155.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.