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Finding the Fourth Proportional to 390,468.08, 585,597.02 and 137,715.77

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Solution

The fourth proportional to 390,468.08, 585,597.02 and 137,715.77 is: 206,536.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,468.08 : 585,597.02 = 137,715.77 : x
  2. Step 2: Convert to fraction form
    390,468.08/585,597.02 = 137,715.77/x
  3. Step 3: Cross multiply
    390,468.08x = 585,597.02 × 137,715.77
  4. Step 4: Simplify right side
    390,468.08x = 80,645,944,519.01
  5. Step 5: Solve for x
    x = 80,645,944,519.01/390,468.08
  6. Step 6: Final answer
    x = 206,536.59

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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.