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Finding the Fourth Proportional to 390,810.40, 586,234.80 and 204,186.40

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Solution

The fourth proportional to 390,810.40, 586,234.80 and 204,186.40 is: 306,289.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,810.40 : 586,234.80 = 204,186.40 : x
  2. Step 2: Convert to fraction form
    390,810.40/586,234.80 = 204,186.40/x
  3. Step 3: Cross multiply
    390,810.40x = 586,234.80 × 204,186.40
  4. Step 4: Simplify right side
    390,810.40x = 119,701,173,366.72
  5. Step 5: Solve for x
    x = 119,701,173,366.72/390,810.40
  6. Step 6: Final answer
    x = 306,289.63

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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.