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Finding the Fourth Proportional to 286,634.40, 429,951.60 and 86,945.10

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Solution

The fourth proportional to 286,634.40, 429,951.60 and 86,945.10 is: 130,417.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,634.40 : 429,951.60 = 86,945.10 : x
  2. Step 2: Convert to fraction form
    286,634.40/429,951.60 = 86,945.10/x
  3. Step 3: Cross multiply
    286,634.40x = 429,951.60 × 86,945.10
  4. Step 4: Simplify right side
    286,634.40x = 37,382,184,857.16
  5. Step 5: Solve for x
    x = 37,382,184,857.16/286,634.40
  6. Step 6: Final answer
    x = 130,417.65

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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.