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Finding the Fourth Proportional to 295,643.40, 443,465.10 and 85,288.20

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Solution

The fourth proportional to 295,643.40, 443,465.10 and 85,288.20 is: 127,932.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,643.40 : 443,465.10 = 85,288.20 : x
  2. Step 2: Convert to fraction form
    295,643.40/443,465.10 = 85,288.20/x
  3. Step 3: Cross multiply
    295,643.40x = 443,465.10 × 85,288.20
  4. Step 4: Simplify right side
    295,643.40x = 37,822,340,141.82
  5. Step 5: Solve for x
    x = 37,822,340,141.82/295,643.40
  6. Step 6: Final answer
    x = 127,932.30

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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.