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Finding the Fourth Proportional to 471,989.85, 651,343.44 and 257,129.40

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Solution

The fourth proportional to 471,989.85, 651,343.44 and 257,129.40 is: 354,837.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,989.85 : 651,343.44 = 257,129.40 : x
  2. Step 2: Convert to fraction form
    471,989.85/651,343.44 = 257,129.40/x
  3. Step 3: Cross multiply
    471,989.85x = 651,343.44 × 257,129.40
  4. Step 4: Simplify right side
    471,989.85x = 167,479,547,921.14
  5. Step 5: Solve for x
    x = 167,479,547,921.14/471,989.85
  6. Step 6: Final answer
    x = 354,837.18

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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.