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Finding the Fourth Proportional to 313,847.02, 472,478.30 and 285,946.30

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Solution

The fourth proportional to 313,847.02, 472,478.30 and 285,946.30 is: 430,475.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,847.02 : 472,478.30 = 285,946.30 : x
  2. Step 2: Convert to fraction form
    313,847.02/472,478.30 = 285,946.30/x
  3. Step 3: Cross multiply
    313,847.02x = 472,478.30 × 285,946.30
  4. Step 4: Simplify right side
    313,847.02x = 135,103,421,715.29
  5. Step 5: Solve for x
    x = 135,103,421,715.29/313,847.02
  6. Step 6: Final answer
    x = 430,475.40

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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.