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Finding the Fourth Proportional to 310,683.49, 466,020.47 and 139,784.49

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Solution

The fourth proportional to 310,683.49, 466,020.47 and 139,784.49 is: 209,674.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,683.49 : 466,020.47 = 139,784.49 : x
  2. Step 2: Convert to fraction form
    310,683.49/466,020.47 = 139,784.49/x
  3. Step 3: Cross multiply
    310,683.49x = 466,020.47 × 139,784.49
  4. Step 4: Simplify right side
    310,683.49x = 65,142,434,077.97
  5. Step 5: Solve for x
    x = 65,142,434,077.97/310,683.49
  6. Step 6: Final answer
    x = 209,674.59

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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.