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Finding the Fourth Proportional to 313,819.52, 472,436.80 and 285,918.80

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Solution

The fourth proportional to 313,819.52, 472,436.80 and 285,918.80 is: 430,433.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,819.52 : 472,436.80 = 285,918.80 : x
  2. Step 2: Convert to fraction form
    313,819.52/472,436.80 = 285,918.80/x
  3. Step 3: Cross multiply
    313,819.52x = 472,436.80 × 285,918.80
  4. Step 4: Simplify right side
    313,819.52x = 135,078,562,931.84
  5. Step 5: Solve for x
    x = 135,078,562,931.84/313,819.52
  6. Step 6: Final answer
    x = 430,433.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.