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Finding the Fourth Proportional to 390,460.74, 585,022.68 and 213,092.34

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Solution

The fourth proportional to 390,460.74, 585,022.68 and 213,092.34 is: 319,273.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,460.74 : 585,022.68 = 213,092.34 : x
  2. Step 2: Convert to fraction form
    390,460.74/585,022.68 = 213,092.34/x
  3. Step 3: Cross multiply
    390,460.74x = 585,022.68 × 213,092.34
  4. Step 4: Simplify right side
    390,460.74x = 124,663,851,834.27
  5. Step 5: Solve for x
    x = 124,663,851,834.27/390,460.74
  6. Step 6: Final answer
    x = 319,273.72

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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.