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Finding the Fourth Proportional to 471,421.90, 650,549.76 and 256,557.36

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Solution

The fourth proportional to 471,421.90, 650,549.76 and 256,557.36 is: 354,042.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,421.90 : 650,549.76 = 256,557.36 : x
  2. Step 2: Convert to fraction form
    471,421.90/650,549.76 = 256,557.36/x
  3. Step 3: Cross multiply
    471,421.90x = 650,549.76 × 256,557.36
  4. Step 4: Simplify right side
    471,421.90x = 166,903,328,974.23
  5. Step 5: Solve for x
    x = 166,903,328,974.23/471,421.90
  6. Step 6: Final answer
    x = 354,042.37

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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.