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Finding the Fourth Proportional to 471,970.64, 651,303.06 and 257,105.18

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Solution

The fourth proportional to 471,970.64, 651,303.06 and 257,105.18 is: 354,796.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,970.64 : 651,303.06 = 257,105.18 : x
  2. Step 2: Convert to fraction form
    471,970.64/651,303.06 = 257,105.18/x
  3. Step 3: Cross multiply
    471,970.64x = 651,303.06 × 257,105.18
  4. Step 4: Simplify right side
    471,970.64x = 167,453,390,475.85
  5. Step 5: Solve for x
    x = 167,453,390,475.85/471,970.64
  6. Step 6: Final answer
    x = 354,796.20

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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.