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Finding the Fourth Proportional to 286,210.33, 429,324.60 and 143,977.88

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Solution

The fourth proportional to 286,210.33, 429,324.60 and 143,977.88 is: 215,971.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,210.33 : 429,324.60 = 143,977.88 : x
  2. Step 2: Convert to fraction form
    286,210.33/429,324.60 = 143,977.88/x
  3. Step 3: Cross multiply
    286,210.33x = 429,324.60 × 143,977.88
  4. Step 4: Simplify right side
    286,210.33x = 61,813,244,938.13
  5. Step 5: Solve for x
    x = 61,813,244,938.13/286,210.33
  6. Step 6: Final answer
    x = 215,971.40

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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.