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Finding the Fourth Proportional to 286,084.07, 429,133.40 and 86,410.97

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Solution

The fourth proportional to 286,084.07, 429,133.40 and 86,410.97 is: 129,618.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,084.07 : 429,133.40 = 86,410.97 : x
  2. Step 2: Convert to fraction form
    286,084.07/429,133.40 = 86,410.97/x
  3. Step 3: Cross multiply
    286,084.07x = 429,133.40 × 86,410.97
  4. Step 4: Simplify right side
    286,084.07x = 37,081,830,775.68
  5. Step 5: Solve for x
    x = 37,081,830,775.68/286,084.07
  6. Step 6: Final answer
    x = 129,618.65

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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.