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Finding the Fourth Proportional to 390,139.20, 585,208.80 and 384,234.30

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Solution

The fourth proportional to 390,139.20, 585,208.80 and 384,234.30 is: 576,351.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,139.20 : 585,208.80 = 384,234.30 : x
  2. Step 2: Convert to fraction form
    390,139.20/585,208.80 = 384,234.30/x
  3. Step 3: Cross multiply
    390,139.20x = 585,208.80 × 384,234.30
  4. Step 4: Simplify right side
    390,139.20x = 224,857,293,621.84
  5. Step 5: Solve for x
    x = 224,857,293,621.84/390,139.20
  6. Step 6: Final answer
    x = 576,351.45

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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.