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Finding the Fourth Proportional to 286,204.60, 429,306.90 and 202,223.80

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Solution

The fourth proportional to 286,204.60, 429,306.90 and 202,223.80 is: 303,335.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,204.60 : 429,306.90 = 202,223.80 : x
  2. Step 2: Convert to fraction form
    286,204.60/429,306.90 = 202,223.80/x
  3. Step 3: Cross multiply
    286,204.60x = 429,306.90 × 202,223.80
  4. Step 4: Simplify right side
    286,204.60x = 86,816,072,684.22
  5. Step 5: Solve for x
    x = 86,816,072,684.22/286,204.60
  6. Step 6: Final answer
    x = 303,335.70

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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.