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Finding the Fourth Proportional to 286,894.48, 429,421.56 and 153,441.04

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Solution

The fourth proportional to 286,894.48, 429,421.56 and 153,441.04 is: 229,669.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,894.48 : 429,421.56 = 153,441.04 : x
  2. Step 2: Convert to fraction form
    286,894.48/429,421.56 = 153,441.04/x
  3. Step 3: Cross multiply
    286,894.48x = 429,421.56 × 153,441.04
  4. Step 4: Simplify right side
    286,894.48x = 65,890,890,764.82
  5. Step 5: Solve for x
    x = 65,890,890,764.82/286,894.48
  6. Step 6: Final answer
    x = 229,669.43

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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.