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Finding the Fourth Proportional to 310,421.70, 465,632.55 and 123,433.20

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Solution

The fourth proportional to 310,421.70, 465,632.55 and 123,433.20 is: 185,149.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,421.70 : 465,632.55 = 123,433.20 : x
  2. Step 2: Convert to fraction form
    310,421.70/465,632.55 = 123,433.20/x
  3. Step 3: Cross multiply
    310,421.70x = 465,632.55 × 123,433.20
  4. Step 4: Simplify right side
    310,421.70x = 57,474,515,670.66
  5. Step 5: Solve for x
    x = 57,474,515,670.66/310,421.70
  6. Step 6: Final answer
    x = 185,149.80

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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.