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Finding the Fourth Proportional to 314,843.20, 472,264.80 and 275,477.20

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Solution

The fourth proportional to 314,843.20, 472,264.80 and 275,477.20 is: 413,215.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,843.20 : 472,264.80 = 275,477.20 : x
  2. Step 2: Convert to fraction form
    314,843.20/472,264.80 = 275,477.20/x
  3. Step 3: Cross multiply
    314,843.20x = 472,264.80 × 275,477.20
  4. Step 4: Simplify right side
    314,843.20x = 130,098,184,762.56
  5. Step 5: Solve for x
    x = 130,098,184,762.56/314,843.20
  6. Step 6: Final answer
    x = 413,215.80

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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.