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Finding the Fourth Proportional to 390,711.96, 585,112.14 and 352,846.89

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Solution

The fourth proportional to 390,711.96, 585,112.14 and 352,846.89 is: 528,407.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,711.96 : 585,112.14 = 352,846.89 : x
  2. Step 2: Convert to fraction form
    390,711.96/585,112.14 = 352,846.89/x
  3. Step 3: Cross multiply
    390,711.96x = 585,112.14 × 352,846.89
  4. Step 4: Simplify right side
    390,711.96x = 206,454,998,900.25
  5. Step 5: Solve for x
    x = 206,454,998,900.25/390,711.96
  6. Step 6: Final answer
    x = 528,407.16

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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.