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Finding the Fourth Proportional to 413,011, 570,155.40 and 276,995.20

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Solution

The fourth proportional to 413,011, 570,155.40 and 276,995.20 is: 382,387.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,011 : 570,155.40 = 276,995.20 : x
  2. Step 2: Convert to fraction form
    413,011/570,155.40 = 276,995.20/x
  3. Step 3: Cross multiply
    413,011x = 570,155.40 × 276,995.20
  4. Step 4: Simplify right side
    413,011x = 157,930,309,054.08
  5. Step 5: Solve for x
    x = 157,930,309,054.08/413,011
  6. Step 6: Final answer
    x = 382,387.66

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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.