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Finding the Fourth Proportional to 282,012.40, 423,364.20 and 279,938.80

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Solution

The fourth proportional to 282,012.40, 423,364.20 and 279,938.80 is: 420,251.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,012.40 : 423,364.20 = 279,938.80 : x
  2. Step 2: Convert to fraction form
    282,012.40/423,364.20 = 279,938.80/x
  3. Step 3: Cross multiply
    282,012.40x = 423,364.20 × 279,938.80
  4. Step 4: Simplify right side
    282,012.40x = 118,516,066,110.96
  5. Step 5: Solve for x
    x = 118,516,066,110.96/282,012.40
  6. Step 6: Final answer
    x = 420,251.26

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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.