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Finding the Fourth Proportional to 313,830.02, 472,452.64 and 285,929.30

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Solution

The fourth proportional to 313,830.02, 472,452.64 and 285,929.30 is: 430,449.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,830.02 : 472,452.64 = 285,929.30 : x
  2. Step 2: Convert to fraction form
    313,830.02/472,452.64 = 285,929.30/x
  3. Step 3: Cross multiply
    313,830.02x = 472,452.64 × 285,929.30
  4. Step 4: Simplify right side
    313,830.02x = 135,088,052,638.35
  5. Step 5: Solve for x
    x = 135,088,052,638.35/313,830.02
  6. Step 6: Final answer
    x = 430,449.75

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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.