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Finding the Fourth Proportional to 286,021.76, 429,034.08 and 117,633.92

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Solution

The fourth proportional to 286,021.76, 429,034.08 and 117,633.92 is: 176,451.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,021.76 : 429,034.08 = 117,633.92 : x
  2. Step 2: Convert to fraction form
    286,021.76/429,034.08 = 117,633.92/x
  3. Step 3: Cross multiply
    286,021.76x = 429,034.08 × 117,633.92
  4. Step 4: Simplify right side
    286,021.76x = 50,468,960,643.99
  5. Step 5: Solve for x
    x = 50,468,960,643.99/286,021.76
  6. Step 6: Final answer
    x = 176,451.47

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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.