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Finding the Fourth Proportional to 390,072.34, 585,128.77 and 123,853.70

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Solution

The fourth proportional to 390,072.34, 585,128.77 and 123,853.70 is: 185,786.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,072.34 : 585,128.77 = 123,853.70 : x
  2. Step 2: Convert to fraction form
    390,072.34/585,128.77 = 123,853.70/x
  3. Step 3: Cross multiply
    390,072.34x = 585,128.77 × 123,853.70
  4. Step 4: Simplify right side
    390,072.34x = 72,470,363,140.95
  5. Step 5: Solve for x
    x = 72,470,363,140.95/390,072.34
  6. Step 6: Final answer
    x = 185,786.98

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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.