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Finding the Fourth Proportional to 390,494, 585,072.32 and 213,125.48

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Solution

The fourth proportional to 390,494, 585,072.32 and 213,125.48 is: 319,323.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,494 : 585,072.32 = 213,125.48 : x
  2. Step 2: Convert to fraction form
    390,494/585,072.32 = 213,125.48/x
  3. Step 3: Cross multiply
    390,494x = 585,072.32 × 213,125.48
  4. Step 4: Simplify right side
    390,494x = 124,693,819,034.71
  5. Step 5: Solve for x
    x = 124,693,819,034.71/390,494
  6. Step 6: Final answer
    x = 319,323.26

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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.