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Finding the Fourth Proportional to 471,830.11, 651,132.96 and 256,970.00

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Solution

The fourth proportional to 471,830.11, 651,132.96 and 256,970.00 is: 354,622.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,830.11 : 651,132.96 = 256,970.00 : x
  2. Step 2: Convert to fraction form
    471,830.11/651,132.96 = 256,970.00/x
  3. Step 3: Cross multiply
    471,830.11x = 651,132.96 × 256,970.00
  4. Step 4: Simplify right side
    471,830.11x = 167,321,638,840.85
  5. Step 5: Solve for x
    x = 167,321,638,840.85/471,830.11
  6. Step 6: Final answer
    x = 354,622.64

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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.