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Finding the Fourth Proportional to 286,294.48, 429,503.16 and 119,986.64

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Solution

The fourth proportional to 286,294.48, 429,503.16 and 119,986.64 is: 180,005.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,294.48 : 429,503.16 = 119,986.64 : x
  2. Step 2: Convert to fraction form
    286,294.48/429,503.16 = 119,986.64/x
  3. Step 3: Cross multiply
    286,294.48x = 429,503.16 × 119,986.64
  4. Step 4: Simplify right side
    286,294.48x = 51,534,641,037.78
  5. Step 5: Solve for x
    x = 51,534,641,037.78/286,294.48
  6. Step 6: Final answer
    x = 180,005.71

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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.