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Finding the Fourth Proportional to 282,009.40, 422,911.70 and 141,721.40

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Solution

The fourth proportional to 282,009.40, 422,911.70 and 141,721.40 is: 212,530.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,009.40 : 422,911.70 = 141,721.40 : x
  2. Step 2: Convert to fraction form
    282,009.40/422,911.70 = 141,721.40/x
  3. Step 3: Cross multiply
    282,009.40x = 422,911.70 × 141,721.40
  4. Step 4: Simplify right side
    282,009.40x = 59,935,638,200.38
  5. Step 5: Solve for x
    x = 59,935,638,200.38/282,009.40
  6. Step 6: Final answer
    x = 212,530.64

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1.5x scale

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.