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Finding the Fourth Proportional to 644,971.06, 890,458.41 and 415,609.30

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Solution

The fourth proportional to 644,971.06, 890,458.41 and 415,609.30 is: 573,797.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,971.06 : 890,458.41 = 415,609.30 : x
  2. Step 2: Convert to fraction form
    644,971.06/890,458.41 = 415,609.30/x
  3. Step 3: Cross multiply
    644,971.06x = 890,458.41 × 415,609.30
  4. Step 4: Simplify right side
    644,971.06x = 370,082,796,459.21
  5. Step 5: Solve for x
    x = 370,082,796,459.21/644,971.06
  6. Step 6: Final answer
    x = 573,797.52

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Double scale
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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.