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Finding the Fourth Proportional to 523,384.27, 785,067.29 and 286,597.78

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Solution

The fourth proportional to 523,384.27, 785,067.29 and 286,597.78 is: 429,891.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,384.27 : 785,067.29 = 286,597.78 : x
  2. Step 2: Convert to fraction form
    523,384.27/785,067.29 = 286,597.78/x
  3. Step 3: Cross multiply
    523,384.27x = 785,067.29 × 286,597.78
  4. Step 4: Simplify right side
    523,384.27x = 224,998,537,106.29
  5. Step 5: Solve for x
    x = 224,998,537,106.29/523,384.27
  6. Step 6: Final answer
    x = 429,891.67

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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.