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Finding the Fourth Proportional to 286,329.40, 429,839.70 and 284,255.80

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Solution

The fourth proportional to 286,329.40, 429,839.70 and 284,255.80 is: 426,726.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,329.40 : 429,839.70 = 284,255.80 : x
  2. Step 2: Convert to fraction form
    286,329.40/429,839.70 = 284,255.80/x
  3. Step 3: Cross multiply
    286,329.40x = 429,839.70 × 284,255.80
  4. Step 4: Simplify right side
    286,329.40x = 122,184,427,795.26
  5. Step 5: Solve for x
    x = 122,184,427,795.26/286,329.40
  6. Step 6: Final answer
    x = 426,726.80

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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.