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Finding the Fourth Proportional to 390,638.40, 585,957.60 and 213,491.40

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Solution

The fourth proportional to 390,638.40, 585,957.60 and 213,491.40 is: 320,237.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,638.40 : 585,957.60 = 213,491.40 : x
  2. Step 2: Convert to fraction form
    390,638.40/585,957.60 = 213,491.40/x
  3. Step 3: Cross multiply
    390,638.40x = 585,957.60 × 213,491.40
  4. Step 4: Simplify right side
    390,638.40x = 125,096,908,364.64
  5. Step 5: Solve for x
    x = 125,096,908,364.64/390,638.40
  6. Step 6: Final answer
    x = 320,237.10

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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.