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Finding the Fourth Proportional to 331,430, 457,373.40 and 180,527

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Solution

The fourth proportional to 331,430, 457,373.40 and 180,527 is: 249,127.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,430 : 457,373.40 = 180,527 : x
  2. Step 2: Convert to fraction form
    331,430/457,373.40 = 180,527/x
  3. Step 3: Cross multiply
    331,430x = 457,373.40 × 180,527
  4. Step 4: Simplify right side
    331,430x = 82,568,247,781.80
  5. Step 5: Solve for x
    x = 82,568,247,781.80/331,430
  6. Step 6: Final answer
    x = 249,127.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.