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Finding the Fourth Proportional to 307,855.86, 461,666.13 and 147,886.23

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Solution

The fourth proportional to 307,855.86, 461,666.13 and 147,886.23 is: 221,772.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,855.86 : 461,666.13 = 147,886.23 : x
  2. Step 2: Convert to fraction form
    307,855.86/461,666.13 = 147,886.23/x
  3. Step 3: Cross multiply
    307,855.86x = 461,666.13 × 147,886.23
  4. Step 4: Simplify right side
    307,855.86x = 68,274,064,194.49
  5. Step 5: Solve for x
    x = 68,274,064,194.49/307,855.86
  6. Step 6: Final answer
    x = 221,772.82

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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.