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Finding the Fourth Proportional to 390,493.94, 585,072.24 and 213,125.40

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Solution

The fourth proportional to 390,493.94, 585,072.24 and 213,125.40 is: 319,323.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,493.94 : 585,072.24 = 213,125.40 : x
  2. Step 2: Convert to fraction form
    390,493.94/585,072.24 = 213,125.40/x
  3. Step 3: Cross multiply
    390,493.94x = 585,072.24 × 213,125.40
  4. Step 4: Simplify right side
    390,493.94x = 124,693,755,178.90
  5. Step 5: Solve for x
    x = 124,693,755,178.90/390,493.94
  6. Step 6: Final answer
    x = 319,323.15

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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.