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Finding the Fourth Proportional to 390,683.79, 586,123.97 and 180,470.43

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Solution

The fourth proportional to 390,683.79, 586,123.97 and 180,470.43 is: 270,751.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,683.79 : 586,123.97 = 180,470.43 : x
  2. Step 2: Convert to fraction form
    390,683.79/586,123.97 = 180,470.43/x
  3. Step 3: Cross multiply
    390,683.79x = 586,123.97 × 180,470.43
  4. Step 4: Simplify right side
    390,683.79x = 105,778,043,996.86
  5. Step 5: Solve for x
    x = 105,778,043,996.86/390,683.79
  6. Step 6: Final answer
    x = 270,751.04

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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.