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Finding the Fourth Proportional to 390,497, 585,076.82 and 213,128.50

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Solution

The fourth proportional to 390,497, 585,076.82 and 213,128.50 is: 319,327.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,497 : 585,076.82 = 213,128.50 : x
  2. Step 2: Convert to fraction form
    390,497/585,076.82 = 213,128.50/x
  3. Step 3: Cross multiply
    390,497x = 585,076.82 × 213,128.50
  4. Step 4: Simplify right side
    390,497x = 124,696,545,031.37
  5. Step 5: Solve for x
    x = 124,696,545,031.37/390,497
  6. Step 6: Final answer
    x = 319,327.79

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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.