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Finding the Fourth Proportional to 286,514.40, 429,771.60 and 86,824.80

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Solution

The fourth proportional to 286,514.40, 429,771.60 and 86,824.80 is: 130,237.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,514.40 : 429,771.60 = 86,824.80 : x
  2. Step 2: Convert to fraction form
    286,514.40/429,771.60 = 86,824.80/x
  3. Step 3: Cross multiply
    286,514.40x = 429,771.60 × 86,824.80
  4. Step 4: Simplify right side
    286,514.40x = 37,314,833,215.68
  5. Step 5: Solve for x
    x = 37,314,833,215.68/286,514.40
  6. Step 6: Final answer
    x = 130,237.20

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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.