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Finding the Fourth Proportional to 286,215.60, 429,323.40 and 202,234.80

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Solution

The fourth proportional to 286,215.60, 429,323.40 and 202,234.80 is: 303,352.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,215.60 : 429,323.40 = 202,234.80 : x
  2. Step 2: Convert to fraction form
    286,215.60/429,323.40 = 202,234.80/x
  3. Step 3: Cross multiply
    286,215.60x = 429,323.40 × 202,234.80
  4. Step 4: Simplify right side
    286,215.60x = 86,824,131,934.32
  5. Step 5: Solve for x
    x = 86,824,131,934.32/286,215.60
  6. Step 6: Final answer
    x = 303,352.20

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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.