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Finding the Fourth Proportional to 286,197.84, 429,435 and 117,843.12

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Solution

The fourth proportional to 286,197.84, 429,435 and 117,843.12 is: 176,821.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,197.84 : 429,435 = 117,843.12 : x
  2. Step 2: Convert to fraction form
    286,197.84/429,435 = 117,843.12/x
  3. Step 3: Cross multiply
    286,197.84x = 429,435 × 117,843.12
  4. Step 4: Simplify right side
    286,197.84x = 50,605,960,237.20
  5. Step 5: Solve for x
    x = 50,605,960,237.20/286,197.84
  6. Step 6: Final answer
    x = 176,821.60

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1.5x scale

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.