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Finding the Fourth Proportional to 650,143.40, 975,215.10 and 414,530.60

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Solution

The fourth proportional to 650,143.40, 975,215.10 and 414,530.60 is: 621,795.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,143.40 : 975,215.10 = 414,530.60 : x
  2. Step 2: Convert to fraction form
    650,143.40/975,215.10 = 414,530.60/x
  3. Step 3: Cross multiply
    650,143.40x = 975,215.10 × 414,530.60
  4. Step 4: Simplify right side
    650,143.40x = 404,256,500,532.06
  5. Step 5: Solve for x
    x = 404,256,500,532.06/650,143.40
  6. Step 6: Final answer
    x = 621,795.90

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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.