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Finding the Fourth Proportional to 471,681.70, 650,914.26 and 256,821.76

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Solution

The fourth proportional to 471,681.70, 650,914.26 and 256,821.76 is: 354,410.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,681.70 : 650,914.26 = 256,821.76 : x
  2. Step 2: Convert to fraction form
    471,681.70/650,914.26 = 256,821.76/x
  3. Step 3: Cross multiply
    471,681.70x = 650,914.26 × 256,821.76
  4. Step 4: Simplify right side
    471,681.70x = 167,168,945,862.30
  5. Step 5: Solve for x
    x = 167,168,945,862.30/471,681.70
  6. Step 6: Final answer
    x = 354,410.50

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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.