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Finding the Fourth Proportional to 307,943.40, 461,915.10 and 218,713.80

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Solution

The fourth proportional to 307,943.40, 461,915.10 and 218,713.80 is: 328,070.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,943.40 : 461,915.10 = 218,713.80 : x
  2. Step 2: Convert to fraction form
    307,943.40/461,915.10 = 218,713.80/x
  3. Step 3: Cross multiply
    307,943.40x = 461,915.10 × 218,713.80
  4. Step 4: Simplify right side
    307,943.40x = 101,027,206,798.38
  5. Step 5: Solve for x
    x = 101,027,206,798.38/307,943.40
  6. Step 6: Final answer
    x = 328,070.70

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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.