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Finding the Fourth Proportional to 307,968.40, 462,427.80 and 168,000.40

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Solution

The fourth proportional to 307,968.40, 462,427.80 and 168,000.40 is: 252,259.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,968.40 : 462,427.80 = 168,000.40 : x
  2. Step 2: Convert to fraction form
    307,968.40/462,427.80 = 168,000.40/x
  3. Step 3: Cross multiply
    307,968.40x = 462,427.80 × 168,000.40
  4. Step 4: Simplify right side
    307,968.40x = 77,688,055,371.12
  5. Step 5: Solve for x
    x = 77,688,055,371.12/307,968.40
  6. Step 6: Final answer
    x = 252,259.83

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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.