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Finding the Fourth Proportional to 413,012, 570,156.78 and 276,996.20

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Solution

The fourth proportional to 413,012, 570,156.78 and 276,996.20 is: 382,389.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,012 : 570,156.78 = 276,996.20 : x
  2. Step 2: Convert to fraction form
    413,012/570,156.78 = 276,996.20/x
  3. Step 3: Cross multiply
    413,012x = 570,156.78 × 276,996.20
  4. Step 4: Simplify right side
    413,012x = 157,931,261,464.24
  5. Step 5: Solve for x
    x = 157,931,261,464.24/413,012
  6. Step 6: Final answer
    x = 382,389.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.