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Finding the Fourth Proportional to 390,104.63, 585,182.45 and 120,199.67

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Solution

The fourth proportional to 390,104.63, 585,182.45 and 120,199.67 is: 180,307.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,104.63 : 585,182.45 = 120,199.67 : x
  2. Step 2: Convert to fraction form
    390,104.63/585,182.45 = 120,199.67/x
  3. Step 3: Cross multiply
    390,104.63x = 585,182.45 × 120,199.67
  4. Step 4: Simplify right side
    390,104.63x = 70,338,737,379.79
  5. Step 5: Solve for x
    x = 70,338,737,379.79/390,104.63
  6. Step 6: Final answer
    x = 180,307.36

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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.