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Finding the Fourth Proportional to 390,497.80, 585,078.05 and 213,129.27

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Solution

The fourth proportional to 390,497.80, 585,078.05 and 213,129.27 is: 319,328.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,497.80 : 585,078.05 = 213,129.27 : x
  2. Step 2: Convert to fraction form
    390,497.80/585,078.05 = 213,129.27/x
  3. Step 3: Cross multiply
    390,497.80x = 585,078.05 × 213,129.27
  4. Step 4: Simplify right side
    390,497.80x = 124,697,257,689.52
  5. Step 5: Solve for x
    x = 124,697,257,689.52/390,497.80
  6. Step 6: Final answer
    x = 319,328.96

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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.