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Finding the Fourth Proportional to 286,456.78, 429,806.70 and 153,302.50

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Solution

The fourth proportional to 286,456.78, 429,806.70 and 153,302.50 is: 230,018.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,456.78 : 429,806.70 = 153,302.50 : x
  2. Step 2: Convert to fraction form
    286,456.78/429,806.70 = 153,302.50/x
  3. Step 3: Cross multiply
    286,456.78x = 429,806.70 × 153,302.50
  4. Step 4: Simplify right side
    286,456.78x = 65,890,441,626.75
  5. Step 5: Solve for x
    x = 65,890,441,626.75/286,456.78
  6. Step 6: Final answer
    x = 230,018.79

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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.