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Finding the Fourth Proportional to 270,646.30, 405,969.45 and 83,715.10

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Solution

The fourth proportional to 270,646.30, 405,969.45 and 83,715.10 is: 125,572.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,646.30 : 405,969.45 = 83,715.10 : x
  2. Step 2: Convert to fraction form
    270,646.30/405,969.45 = 83,715.10/x
  3. Step 3: Cross multiply
    270,646.30x = 405,969.45 × 83,715.10
  4. Step 4: Simplify right side
    270,646.30x = 33,985,773,103.70
  5. Step 5: Solve for x
    x = 33,985,773,103.70/270,646.30
  6. Step 6: Final answer
    x = 125,572.65

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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.