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Finding the Fourth Proportional to 286,455.78, 429,805.20 and 153,301.50

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Solution

The fourth proportional to 286,455.78, 429,805.20 and 153,301.50 is: 230,017.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,455.78 : 429,805.20 = 153,301.50 : x
  2. Step 2: Convert to fraction form
    286,455.78/429,805.20 = 153,301.50/x
  3. Step 3: Cross multiply
    286,455.78x = 429,805.20 × 153,301.50
  4. Step 4: Simplify right side
    286,455.78x = 65,889,781,867.80
  5. Step 5: Solve for x
    x = 65,889,781,867.80/286,455.78
  6. Step 6: Final answer
    x = 230,017.29

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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.