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Finding the Fourth Proportional to 390,484.74, 585,058.46 and 213,116.21

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Solution

The fourth proportional to 390,484.74, 585,058.46 and 213,116.21 is: 319,309.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,484.74 : 585,058.46 = 213,116.21 : x
  2. Step 2: Convert to fraction form
    390,484.74/585,058.46 = 213,116.21/x
  3. Step 3: Cross multiply
    390,484.74x = 585,058.46 × 213,116.21
  4. Step 4: Simplify right side
    390,484.74x = 124,685,437,632.76
  5. Step 5: Solve for x
    x = 124,685,437,632.76/390,484.74
  6. Step 6: Final answer
    x = 319,309.37

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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.