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Finding the Fourth Proportional to 286,817.94, 430,294.20 and 282,057.57

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Solution

The fourth proportional to 286,817.94, 430,294.20 and 282,057.57 is: 423,152.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,817.94 : 430,294.20 = 282,057.57 : x
  2. Step 2: Convert to fraction form
    286,817.94/430,294.20 = 282,057.57/x
  3. Step 3: Cross multiply
    286,817.94x = 430,294.20 × 282,057.57
  4. Step 4: Simplify right side
    286,817.94x = 121,367,736,437.09
  5. Step 5: Solve for x
    x = 121,367,736,437.09/286,817.94
  6. Step 6: Final answer
    x = 423,152.53

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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.