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Finding the Fourth Proportional to 306,266.40, 459,504.80 and 137,904.80

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Solution

The fourth proportional to 306,266.40, 459,504.80 and 137,904.80 is: 206,904.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,266.40 : 459,504.80 = 137,904.80 : x
  2. Step 2: Convert to fraction form
    306,266.40/459,504.80 = 137,904.80/x
  3. Step 3: Cross multiply
    306,266.40x = 459,504.80 × 137,904.80
  4. Step 4: Simplify right side
    306,266.40x = 63,367,917,543.04
  5. Step 5: Solve for x
    x = 63,367,917,543.04/306,266.40
  6. Step 6: Final answer
    x = 206,904.57

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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.