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Finding the Fourth Proportional to 390,515.04, 585,103.76 and 213,146.56

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Solution

The fourth proportional to 390,515.04, 585,103.76 and 213,146.56 is: 319,354.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,515.04 : 585,103.76 = 213,146.56 : x
  2. Step 2: Convert to fraction form
    390,515.04/585,103.76 = 213,146.56/x
  3. Step 3: Cross multiply
    390,515.04x = 585,103.76 × 213,146.56
  4. Step 4: Simplify right side
    390,515.04x = 124,712,853,687.07
  5. Step 5: Solve for x
    x = 124,712,853,687.07/390,515.04
  6. Step 6: Final answer
    x = 319,354.80

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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.