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Finding the Fourth Proportional to 310,013.38, 427,790.59 and 180,963.10

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Solution

The fourth proportional to 310,013.38, 427,790.59 and 180,963.10 is: 249,712.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,013.38 : 427,790.59 = 180,963.10 : x
  2. Step 2: Convert to fraction form
    310,013.38/427,790.59 = 180,963.10/x
  3. Step 3: Cross multiply
    310,013.38x = 427,790.59 × 180,963.10
  4. Step 4: Simplify right side
    310,013.38x = 77,414,311,317.23
  5. Step 5: Solve for x
    x = 77,414,311,317.23/310,013.38
  6. Step 6: Final answer
    x = 249,712.81

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1.5x scale

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.