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Finding the Fourth Proportional to 313,812.52, 472,426.24 and 285,911.80

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Solution

The fourth proportional to 313,812.52, 472,426.24 and 285,911.80 is: 430,423.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,812.52 : 472,426.24 = 285,911.80 : x
  2. Step 2: Convert to fraction form
    313,812.52/472,426.24 = 285,911.80/x
  3. Step 3: Cross multiply
    313,812.52x = 472,426.24 × 285,911.80
  4. Step 4: Simplify right side
    313,812.52x = 135,072,236,645.63
  5. Step 5: Solve for x
    x = 135,072,236,645.63/313,812.52
  6. Step 6: Final answer
    x = 430,423.35

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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.